For which of the following inequalities, is -4 part of the solution set? Select all that apply. A. x > -5 . B. 2 > X . C. 3x + 4 > -8 D. 5x < 2x - 3 E. ---6 < 4 - 2x​

For Which Of The Following Inequalities, Is -4 Part Of The Solution Set? Select All That Apply. A. X

Answers

Answer 1

[tex]-4[/tex] is a part of the solution set to all of the inequalities

We will consider each inequality in turn:

For [tex]x>-5[/tex]:

The solution set is [tex]\{{-4,-3,-2,-1,...\}[/tex]

So [tex]-4[/tex] is a part of the solution set of [tex]x>-5[/tex]

For [tex]2>x[/tex], or [tex]x<2[/tex]:

The solution set is [tex]\{{1,0-1,-2,-3,-4,...\}[/tex]

So [tex]-4[/tex] is a part of the solution set of [tex]2>x[/tex]

For [tex]3x+4\ge -8[/tex]:

We have to solve first

[tex]3x+4\ge -8\\3x\ge -8-4\\3x\ge -12\\x\ge -4\\[/tex]

The solution set is [tex]\{{-4,-3,-2,-1,0,...\}[/tex]

So [tex]-4[/tex] is a part of the solution set of [tex]3x+4\ge -8[/tex]

For [tex]5x\le 2x-3[/tex]:

We have to solve first

[tex]5x\le 2x-3\\5x-2x\le-3\\3x\le-3\\x\le-1[/tex]

The solution set is [tex]\{{-1,-2,-3,-4,-5,...\}[/tex]

So [tex]-4[/tex] is a part of the solution set of [tex]5x\le 2x-3[/tex]

For [tex]-6<4-2x[/tex]:

We have to solve first

[tex]-6<4-2x\\2x<4+6\\2x<10\\x<5[/tex]

The solution set is [tex]\{{4,3,2,...,-3,-4,-5,...\}[/tex]

So [tex]-4[/tex] is a part of the solution set of [tex]-6<4-2x[/tex]

So, [tex]-4[/tex] is a part of the solution set of all the inequalities.

Learn more about inequalities here: https://brainly.com/question/278997


Related Questions

DIRECTIONS:give the formula for each surface area.

pls answer thank you!! ​

Answers

[tex]\boxed{\sf Area_{(Square)}=(side)^2}[/tex]

[tex]\boxed{\sf Area_{(Rectangle)}=Length\times Breadth}[/tex]

[tex]\boxed{\sf Area_{(Rhombus)}=\dfrac{1}{2}\times Diagonals}[/tex]

[tex]\boxed{\sf Area_{(Triangle)}=\dfrac{1}{2}\times Base\times Height}[/tex]

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Answers

Here is ur perfect answer

Answer:

x = 207

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

([tex]\sqrt{x}[/tex] )² + 7² = 16²

x + 49 = 256 ( subtract 49 from both sides )

x = 207

Please help me





20 points

Answers

Answer:

1). Simplify the expression.

Exact Form:

( [tex]\frac{37}{25}[/tex] )

Decimal Form:

1.48

Mixed Number Form:

( [tex]1\frac{12}{25}[/tex] )

2). Simplify the expression.

91.46

3). Simplify the expression.

Exact Form:

[tex]\frac{17}{24}[/tex]

Decimal Form:

0.7083  ( bar notation)

4). Simplify the expression.

81.49

how much time is required to change 22Ns momentum by a force of 20N. ​

Answers

Answer:   time is 1.1 sec

Step-by-step explanation:

Answer:

1.1s

Step-by-step explanation:

t=m/F

t=time, m=momentum, F=Force

t=22/20= 1.1s

A circle has a diameter of 62 meters. What is the circumference of the circle

Answers

Answer:

the circumstance is 194.78

What type of angle is 90 degrees

Answers

Answer:

Obtuse or right angle

Step-by-step explanation:

Also you should stop making your question worth so many points

help it’s due monday number 12

Answers

Answer:

a. 5

Step-by-step explanation:

Given that Sophia bought 3 bags of candy, and each bag has 15 pieces:

[tex]3*15 = 45[/tex]

Sophia has 45 total pieces of candy.

If Sophia would like to fill 9 party bags with the candy she has bought, she must divide the 45 total pieces of candy into the 9 party bags:

[tex]45[/tex] ÷ [tex]9=5[/tex]

Therefore, each party bag will have 5 pieces of candy in it.

Answer:

A. 5

Step-by-step explanation:

A, since you can follow these steps:

First, find how many total pieces of candy must be distributed. This is always what needs to be answered in this sort of question.

In this case, it is 3 bags of candy ⋅ 15 pieces of candy in each.

The result - from 3(15) - is 45 total pieces of candy.

Now, we see that we're distributing that value among 9 people (this is another correct way of wording it).

So the result is 45/9, which then results in 5 pieces of candy for 9 guests.

I hope this helped a bunch! Tell me if you need any further assistance...

( :

PLS HELP ME
How do you find the radius???

Answers

Answer:

r = 15

Step-by-step explanation:

Using Pythagoras' identity in the right triangle OAB

with OM and OB the radii r of the circle

OA² = OB² + AB²

(r + 10)² = r² + 20² ← expand left side using FOIL

r² + 20r + 100 = r² + 400 ( subtract r² from both sides )

20r + 100 = 400 ( subtract 100 from both sides )

20r = 300 ( divide both sides by 20 )

r = 15

Please solve: 6x - y = -1

Answers

Answer:

y=6x-1

Step-by-step explanation:

6x - y = -1

-y = -1 -6x

y = 6x+1

Answer:

y = 6x + 1

Step-by-step explanation:

hope it helps

should I show steps?

how many ants will there be in the ant farm?

Answers

Answer:

Collect as many ants as you can with the container you have provided. A excellent approach to do this is to sprinkle some sugar or bread crumbs in a container and position it near the ant nest, where the ants will gather. A reasonable starting point is about 100.

Step-by-step explanation:

Hope it helps:)

True or False: If I am a boy and you are a person, what color is the leaf in the winter time on a pole?

Answers

What? hold up my brain hurts! you made me confused!!

Answer:

There are no leaves in the winter except on evergreens and those are green.

Step-by-step explanation:

a 4 foot statue has a shadow of 3 feet.next to the statue is a telephone pole with a shadow of 18 feet.what is the height of the telephone pole

Answers

Answer:

c 15.9 m

Step-by-step explanation:

you are welcome

You need to cut a 16 foot long 2x4 into 3.5ft sections. How many ehole sections will you have

Answers

You would have to use a calculator this isn’t easy good luck 568

A stick 1 meter long casts a shadow 0.6 meters long. A building casts a shadow 25 meters long. How tall is the building (to 2 decimal places)

Answers

Answer:

41.67

Step-by-step explanation:

Using the tangent on the stick with shadow:

tan(θ) = [tex]\frac{1}{0.6}[/tex]

Using the tangent on the building:

tan(θ) = [tex]\frac{h}{25}[/tex]

⇒ h = 25 · tan(θ)

       = 25 · [tex]\frac{1}{0.6}[/tex]

⇒ h = 41.66... ≈ 41.67

the first term of an arithmetic sequence is a b and the second term is a c. What is the explicit formula to find the nth term of the sequence?

Answers

Step-by-step explanation:

every new term is created by adding a constant (I call here x) to the previous term.

a1 = b

a2 = c = a1 + x = b + x

a3 = a2 + x = a1 + 2x = b + 2x

so, we see

an = a1 + (n-1)x = b + (n-1)x

from a1 and a2 we know

c = b + x

x = c - b

so, ultimately we have

an = b + (n-1)(c-b)

The explicit formula to find the nth term of the sequence will be aₙ = cn - nb + 2b - c.

What is an arithmetic sequence?

A series of integers called an arithmetic succession or arithmetic chain of events has a fixed difference between the terms.

Let a₁ be the first term and d be a common difference.

Then the nth term of the arithmetic sequence is given as,

aₙ = a₁ + (n - 1)d

The first term of an arithmetic sequence is b and the second term is c.

a₁ = b

a₂ = c

Then the common difference is given as,

d = a₂ - a₁

d = c - b

Then the explicit formula to find the nth term of the sequence will be given as,

aₙ = b + (n - 1) × (c - b)

aₙ = b + cn - c - nb + b

aₙ = cn - nb + 2b - c

The explicit formula to find the nth term of the sequence will be aₙ = cn - nb + 2b - c.

More about the arithmetic sequence link is given below.

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find the sum of the first 8 terms of the geometric sequence 2,4,8,16,..
(with solution)

PA HELP PO THANKYOUU

Answers

Answer:

I think the common difference is 2. The formula to create the sequence is n (number) is multiplied by 2.

1 x 2 = 2

2 x 2 = 4

4 x 2 = 8

8 x 2 = 16

16 x 2 = 32

32 x 2 = 64

64 x 2 = 128

128 x 2 = 256  

256 is the 8th term of the sequence. Since your question says that we should look for the sum, add the number of the sequence I guess.  

2 + 4 +8 + 16 + 32 + 64 + 128 + 256 = 510

The purpose of a budget is to figure out how to use money in a way that best meets your wants and needs. TRUE OR FALSE. Brainly

Answers

The answer is true :)

Question 12 Objective: Given an acute angle of a right triangle, label the hypotenuse, opposite, and adjacent sides. What side is opposite to angle R? What side is adjacent to angle R? R S​

Answers

Answer:

Opposite: Line SQ

Adjacent: Line SR

Hypotenuse: Line RQ

Step-by-step explanation:

A pole 11 feet tall is used to support a guy wire for a tower, which runs from the tower to a metal stake in the ground. After placing the pole, Rashaad measures the distance from the pole to the stake and from the pole to the tower, as shown in the diagram below. Find the length of the guy wire, to the nearest foot.

Answers

The given question is on trigonometry which requires the application of required function so as to determine the value known. So that the length of the guy wire is 67.0 feet.

Trigonometry is an aspect of mathematics that requires the application of some functions to determine the value of an unknown quantity.

Let the length of the guy wire be represented by l, and the angle that the guy wire makes with the stake be θ. So that applying the appropriate trigonometric function to determine the value of θ, we have:

Tan θ = [tex]\frac{opposite}{adjacent}[/tex]

          = [tex]\frac{11}{4}[/tex]

Tan θ = 2.75

θ = [tex]Tan^{-1}[/tex] 2.75

  = 70.0169

θ = [tex]70^{o}[/tex]

Considering triangle formed by the tower and the stake to determine the value of l, we have;

Cos θ = [tex]\frac{adjacent}{hypotenuse}[/tex]

Cos [tex]70^{o}[/tex]  = [tex]\frac{23}{l}[/tex]

l = [tex]\frac{23}{Cos 70^{o} }[/tex]

 = [tex]\frac{23}{0.3420}[/tex]

l = 67.2515

l = 67 feet

The length of the guy wire is 67 feet.

For more on trigonometric, check: https://brainly.com/question/6459892

Find the side length of the triangle 4x+8=3x+12

Answers

Answer:

I think it might be 4.

Step-by-step explanation:

:)

I found something that says 6x or something if that helps?

I hope you get it right!!!

What is 2+21*13-45+12*67

Answers

Answer:

1034

Step-by-step explanation:

Answer:

1034

Step-by-step explanation:

PLEASE HELP I NEED HELP

Which verb of ser do I use?

Example: son, sois, somos, es, eres, soy

Ricardo y yo _____.

I WILL GIVE BRAINLIEST

Answers

Answer: Ricardo y yo somos

Answer:

somos

Step-by-step explanation:

somos means us

Ricardo and us

I will give BRAINLIEST plz help

Answers

Answer:

-0.37

-2.86

0.91

0.19

1.46

Step-by-step explanation:

please help, please and ty.

Answers

Answer:

l.y=4

m.y=-2x+4

n.1x-1

p.x=-4

Step-by-step explanation:

The equations of the lines given in the graph will be,

y = x - 1

y = -2x +4

y = 4

What is an equation of the line?

An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.

The general form of the equation of the line:-

y = mx + c

m = slope

c = y-intercept

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

For line one the points are:-

( 3,2 ) and ( 1,0)

Slope = ( 0 -2 ) / ( 0 - 3 )

Slope = 1

The equation will be,

y = x + c

0 = 1 + c

c = -1

For line two the points are:-

(0,4) and (2,0),

Slope = ( 0 - 4 ) / ( 2 - 0 )

Slope = -2

The y-intercept will be,

y = mx +c

y = -2x + c

c= 4

The equation can be written as:-

y = -2x +4

The equation of the line parallel to x-axis is,

y = 4

To know more about an equation of the line follow

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i think the last question today lol

Answers

Answer:

the picture is not clear

Step-by-step explanation:

Solve. −6.6x=−4 What is the solution to the equation? Enter your answer as a simplified fraction in the box. x =

Answers

Answer:

20/33

Step-by-step explanation:

i took the test

Answer:

x = 20/33

Step-by-step explanation:

−6.6x = −4

Divide both sides by -6.6

x = -4/(-6.6)

x = 40/66

x = 20/33

Answer: x = 20/33

Math help because I forget

Answers

Answer:

R.I.P

Step-by-step explanation:

goodluck doing that

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Answers

Doin it for points sorry

Which expression can be placed on the right side of the equals sign to form an equation? 6+24= 7+3⋅5 4⋅103+96 3⋅10+2 7²

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Answers

Answer:

the answer is 7 + 3 . 5

Step-by-step explanation:

Express 8.4km/min in km/hr

Please answer quickly i have exam tomorrow!!!

Answers

Answer:

540km/hr

Step-by-step explanation:

8.4km/min×60min/km

=8.4/60

=540km/hr

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