Solve inequality.
|3n-2|-2<1

Answers

Answer 1

[tex]\text{Hello there! :)}[/tex]

[tex]\boxed{-1/3 < n < 5/3}[/tex]

[tex]|3n - 2| - 2 < 1[/tex]

[tex]\text{Begin simplifying by adding 2 to both sides:}[/tex]

[tex]|3n - 2| < 3[/tex]

[tex]\text{ Solve for the positive and negative solutions:}[/tex]

[tex]3n - 2 < 3\\\\3n < 5\\\\n < 5/3[/tex]

[tex]-(3n - 2) < 3\\\\\text{Switch sign when dividing by a negative:}\\\\3n - 2 > - 3\\\\3n > - 1\\\\n > -1/3[/tex]

[tex]\text{Therefore, the solutions for the inequality are:}\\\\-1/3 < n < 5/3[/tex]


Related Questions

What is the sum? (4x - 3) + (-2x + 5)

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Answer:

2x+2

Explanation:

plzzzzzz helpppppp meeeeee​

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c you can find the decimal value for these type of questions in future

Name a number greater than 1 that is both a perfect square and a perfect cube. Explain how you know this.

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Answer:

64

Step-by-step explanation:

64 is both a perfect square and a perfect cube.

8*8=64

4*4*4=64

Answer:

hello!

Step-by-step explanation:

lets solve this,

64.

8x8= 64.

4x4x4= 64.

Will give brainliest answer

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4 units to the right and 2 units up is the translation

Answer:

4 and 2 are the correct answers in that order

solve for x 7x½+2=0​

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Answer:

here's your answer

hope this helped you

please mark as the brainliest (ㆁωㆁ)

Answer: 7/2x + 2

Step-by-step explanation:

what pecent is 425 of 500

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Answer: 85

Step-by-step explanation:

Kid.

Answer:

85%

Step-by-step explanation:

425 is 85% of 500

HELP!!! SHOW WORK PLS!! ITS URGENT

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1. Is similar and has a scale factor of 1.5 (since you can divide 4.5 by 3 to find it out)

2. Is not similar since the length of all the sides does not increase the same amount of times.

Consider a situation that you might need to use your understanding of probability to make an informed decision.

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When considering entering the lottery or paying to play a game at a carnival.

how many times can 2 go into 238​

Answers

just divide 238/2
the answer is 119

Answer:

i think it is 119

Determine the measure of each angle. Then describe each angle as acute, right, obtuse, or straight.

Answers

I think it was meant for paper you need to be able too mesure this

What is the ordered pair for Point A?

Answers

Answer:

(3, 0)

Step-by-step explanation:

The 1st number in an ordered pair is the x-value for the x-axls.

The 2nd number in an ordered pair is the y-value for the y-axis.

We see that the y-value would be 0 looking at the y-axis.

We also see that our x-value would be 3 looking at the x-axis.

Therefore, our coordinates are (3, 0).

Anyone ? And plz explain how

Answers

Answer:

Step-by-step explanation:

The formula for the area of a circle is A=πr²

r=6cm in this case

what is a median of 11,16,29,29,29,33,52,52,52

Answers

29 is the median
If you just count all then the half number will be the 3rd 29

70,000 inches equals how many miles

Answers

Answer:

1.104798 miles

A candy maker produces mints that have a label weight of 20.4 grams. Assume that the distribution of the weights of these mints is normal with mean 21.37 and variance 0.16. a) Find the probability that the weight of a single mint selected at random from the production line is less than 20.857 grams. b) During a shift, a sample of 100 mints is selected at random and weighed. Approximate the probability that in the selected sample there are at most 5 mints that weigh less than 20.857 grams. c) Find the approximate probability that the sample mean of the 100 mints selected is greater than 21.31 and less than 21.39.

Answers

Answer:

a)0.099834

b) 0

Step-by-step explanation:

To solve for this question we would be using , z.score formula.

The formula for calculating a z-score is is z = (x-μ)/σ, where x is the raw score, μ is the population mean, and σ is the population standard deviation.

A candy maker produces mints that have a label weight of 20.4 grams. Assume that the distribution of the weights of these mints is normal with mean 21.37 and variance 0.16.

a) Find the probability that the weight of a single mint selected at random from the production line is less than 20.857 grams.

Standard Deviation = √variance

= √0.16 = 0.4

Standard deviation = 0.4

Mean = 21.37

x = 20.857

z = (x-μ)/σ

z = 20.857 - 21.37/0.4

z = -1.2825

P-value from Z-Table:

P(x<20.857) = 0.099834

b) During a shift, a sample of 100 mints is selected at random and weighed. Approximate the probability that in the selected sample there are at most 5 mints that weigh less than 20.857 grams.

z score formula used = (x-μ)/σ/√n

x = 20.857

Standard deviation = 0.4

Mean = 21.37

n = 100

z = 20.857 - 21.37/0.4/√100

= 20.857 - 21.37/ 0.4/10

= 20.857 - 21.37/ 0.04

= -12.825

P-value from Z-Table:

P(x<20.857) = 0

c) Find the approximate probability that the sample mean of the 100 mints selected is greater than 21.31 and less than 21.39.

he grocery store has bulk pecans on sale, which is great since you're planning on making 5 pecan pies for a wedding. How many pounds of pecans should you buy? First, determine what information you need to answer this question, then click here to display that info (along with other info). You will need to buy pounds of pecans.

Answers

You Need to Find out how much Pecans each pie Will need

Brian can type 1 and one-third pages every 20 minutes. How many pages can he type in 2.5 hours? 7.5 pages 10 pages 22.5 pages 200 pages

Answers

Answer:

10 pages

Step-by-step explanation:

1 and 1/3 pages multiplies by 7.5 brings us to the answer of ten pages

20 minutes goes into 2 and 1/2 hours 7.5 times

10 pages i did this on edge

2020 hope this helps

your welcome =)

Company A
$4 per table (seats 4) and a $25 one-time delivery and pickup fee
Company B
$2 per chair and a $15 one-time delivery and pickup fee
Each table seats 4 people, so Lorenzo needs to rent 4 chairs for every table.
X = number of tables
Cost to rent tables from Company A: f(x) = 4x + 25
Cost to rent chairs from Company B: g(x) = 2(4x) + 15
Which function represents the total cost for Lorenzo to rent x number of tables and the chairs he needs to go with
them?
0 12x
O 12x2 + 40
12x + 40
0 8x + 40
Ma

Answers

Answer:

C. 12x + 40

Step-by-step explanation:

Got 100% on edge.

Answer:

c

Step-by-step explanation:

did the quiz 2021

Four students were discussing how to find the unit rate for a proportional relationship. Which method is valid?
"Look at the graph of the relationship. Find the y-value of the point that corresponds to x = 1. That value is the unit
rate."
"Look at the graph of the relationship. Count the number of units up and the number of units to the right one must
move to arrive at the next point on the graph. Write these two numbers as a fraction."
"Look at the graph of the relationship. Find the x-value of the point that corresponds to y = 2. That value is the unit
rate."
"Look at the graph of the relationship. Find two points which have y-values that are one unit apart. The unit rate is
the difference in the corresponding x-values."

Answers

Answer:

The correct answer I believe is A.

A.) “Look at the graph of the relationship. Find the y-value of the point that corresponds to x = 1. That value is the unit rate.”

Step-by-step explanation:

I took the test on edge :)

Answer:

A

Step-by-step explanation:Lol

convert to gallons 40 quarts

Answers

Answer:

10 gallons

Step-by-step explanation:

4 quarts is one gallon

so

40/4 is 10

The answer would be 10 gallons

The intersection of two lines can be a line segment

Answers

Answer:

A plane and a line can intersect in a point—- false

please help me with this question fast with the work shown

Answers

Answer:

See below.

Step-by-step explanation:

Gertrude is correct. Any angle can have one line of symmetry going directly down the center of the angle, intercepting at the angles point. Emmet is incorrect because not only polygons can have lines of symmetry. A circle, square, rhombus, etc. can have lines of symmetry.

True or false please help ASAP

Answers

Answer:

true :)

Step-by-step explanation:

Answer:

true

Step-by-step explanation:

7-(-1)
Simplify the expression

Answers

It would be 8........

The length of a standard pickleball court is 4 feet more than twice the width. The total perimeter is 128 feet. What are the dimensions of a pickleball court?

Answers

Answer:

width= 20

length= 44

Step-by-step explanation:

we can say the width is x and the length is  2x+4 and there are 2 widths and two lengths. so 2x+4+2x+4+x+x=128, 6x+8 = 128 which means x=20 s0 the width is 20 and the length is 44

The length of the pickleball is 44 feet while the width is 20 feet.

What is a rectangle?

A rectangle is a geometrical figure in which opposite sides are equal.

The angle between any two consecutive sides will be 90 degrees.

Area of rectangle = length × width.

Perimeter of rectangle = 2( length + width).

Pickleball is a shape of a rectangle.

Let's say the length of the pickleball is L and the width is W

Given that,

The length of a standard pickleball court is 4 feet more than twice the width.

So,

L = 2W + 4

Perimeter 2(L + W) = 128

By substitution,

2(2W + 4 + W) = 128

3W + 4 = 64

W = 20

And L = 2(20) + 4 = 44

Hence "The length of the pickleball is 44 feet while the width is 20 feet".

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I need Help Asap Please Please

Answers

Answer:

C

Step-by-step explanation:

Which choice correctly expresses the number below in scientific notation?

Answers

Answer:

B. 4.62 x 10^5 is scientific notation of 462000

Find the distance between the points E(3, 7) and F(6, 5).
The exact distance between the two points is

Answers

Answer:

The answer is

[tex]\sqrt{13} \: \: \: \: units[/tex]

Step-by-step explanation:

The distance between two points can be found by using the formula

[tex]d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\ [/tex]

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

E(3, 7) and F(6, 5)

The distance between them is

[tex] |EF| = \sqrt{( {3 - 6})^{2} + ({7 - 5})^{2} } \\ = \sqrt{ ({ - 3})^{2} + {2}^{2} } \\ = \sqrt{9 + 4} \\ = \sqrt{13} \: \: \: \: \: [/tex]

We have the final answer as

[tex] \sqrt{13} \: \: \: \: units[/tex]

Hope this helps you

Factorise 4x^3 + 24x^2 Fully

Answers

Answer:

4x^2(x+6)

4x^3 is split into 4 and 3 x's

24x^2 is split into 4 and 6 and 2 x's

Cancel out what is the same so 4 and 2 x's and put it out the bracket : 4x^2(

Then put what is left over inside the bracket:

4x^2(x+6)

After factorization of the equation, the net result is 4x²(x + 6).

What is Factorization?

An integer is factorized using the factorization equation. Factorization is the method of splitting a single object into two or smaller entities, or factors, whose sum equals the original estimate.

As per the provided data in the question,

4x³ consists of 4 and 3 x's

24x² consists of 4 and 6 and 2 x's.

Remove the bracket and remove anything identical, such as 4 and 2 x's: 4x²

Then put what is left over inside the bracket:

4x²(x + 6)

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Which are true regarding the statement "A quadrilateral having exactly one pair of parallel opposite sides is a trapezoid”? Check all that apply. It is a conditional statement that can be written as “If a quadrilateral has exactly one pair of parallel opposite sides, then it is a trapezoid.” The hypothesis is: a quadrilateral having exactly one pair of parallel opposite sides. The hypothesis is: it is a trapezoid. The conclusion is: a quadrilateral having exactly one pair of parallel opposite sides. The conclusion is: it is a trapezoid.

Answers

Answer: A,B,E

Step-by-step explanation:

The statement is "The conclusion is: it is a trapezoid." the correct option is D.

What is a quadrilateral?

Any closed figure made by 4 line segments joined end to end in series is called a quadrilateral.

That quadrilateral in which opposite sides are parallel is called a parallelogram.

Thus, a parallelogram is always a quadrilateral but a quadrilateral can or cannot be a parallelogram.

We are given that;

The statement "A quadrilateral having exactly one pair of parallel opposite sides is a trapezoid”

Now,

The following statements are true regarding the statement "A quadrilateral having exactly one pair of parallel opposite sides is a trapezoid":

It is a conditional statement that can be written as “If a quadrilateral has exactly one pair of parallel opposite sides, then it is a trapezoid.”

The hypothesis is: a quadrilateral having exactly one pair of parallel opposite sides.

The conclusion is: it is a trapezoid.

Therefore, by quadrilaterals the answer will be "The conclusion is: it is a trapezoid."

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