For which values of a the system has at least one solution: 1.x≤7 ,x≥a

Answers

Answer 1

Given:

The system of inequalities

[tex]x\leq 7[/tex]

[tex]x\geq a[/tex]

To find:

The values of a for which the system has at least one solution.

Solution:

We have,

[tex]x\leq 7[/tex]     ...(i)

It means all real values of x which are less than or equal to 0.

[tex]x\geq a[/tex]       ...(ii)

It means all real values of x which are greater than or equal to a.

Using (i) and (ii), we get

[tex]a\leq x\leq 7[/tex]

The value of x is lies in the interval [a,7].

It means, if the value of a is less than or equal to 7, then system has at least one solution.

But if a is more than 7, then the system of inequalities have to solution.

Therefore, the value of a must be less than or equal to 7.


Related Questions

What is 4 divided by 6

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Answer:

0.666

Step-by-step explanation:

Answer: 0.6667

Shouldnt the 6 be divided by 4? If it is its 1.5

Step-by-step explanation:

Find all values if x , where |x| = 14

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Answer: x=-14, x=14

Step-by-step explanation:

The absolute value makes all the values turn from negative to positive. With absolute value, you will not have a negative response. Therefore, x=-14 and x=14.

the statement formed when an equal sign is placed between two expressions is called

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Answer: An equation

Step-by-step explanation: In math a equal sign put in between two expressions is called an equation.    :)

please help, will give brainiest

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300 accidents were investigated

a/b=c for b helppppp

Answers

Answer:

Step-by-step explanation:

A/b = c for b

A/b = c

A = bc

bc = A

b = A/c

Answer:

See below

Step-by-step explanation:

[tex]\frac{A}{b}=c\\\frac{A}{b} * b = c * b\\ A = c * b\\\frac{A}{c} = \frac{c*b}{c}\\\frac{A}{c} = b\\ b =\frac{A}{c}[/tex]

Need help please ASAP ! The options for the first blank is A.close B.open price C.volume the options for second blank is A.day B.month

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Hhhhhhhhhhhhhhhhhhhhhhhhh

Question: Determine what the constant, coefficient, and variable are in the expression 7-25f.

Answers

Answer:

see below

Step-by-step explanation:

Given:

Binomial 7 - 25f

7 = constant, it is a number as a term25 = coefficient, it is a number which is multiplied by a letter (variable)f = variable, which is normally identified as a letter, it is degree one

Solve for n. 2n − 35=5

Answers

Answer:

n = 20

Step-by-step explanation:

2n − 35 = 5

find: n

2n = 5 + 35

n = 40 / 2

n = 20

it would be 20, i think

4x(10-3+2) simplify expression

Answers

Answer:

20

Step-by-step explanation:

the answer is 20 use pemdas (parenthesis,exponents,multiplication,divide,add,subtract)

how do you compute overtime pay?​

Answers

Your regular pay times 1.5 depending on your state

198,500 round to ten thousand

Answers

Answer:

200,000

Step-by-step explanation:

Pls help!!!

Find the solution set of the inequality with the given replacement set:

20x - 4 > 24, x = {0, 1, 2, 3}

Answers

Answer:

{2,3}

Step-by-step explanation:

as when we solve we will get 7/5

that is 1.5

and x > 1.5

so answer is 2 and 3

plz mark as brainliest if it helps

The average of four numbers is 26.
Three of these numbers are 20, 42
and 16. What is the fourth number?​

Answers

Answer: 26!!

Step-by-step explanation: the average is like the mean which is all 4 numbers added together divided by 4. 26 times 4 is 104. 20 +42+16  = 78. 104 - 78 is 26 so the 4th number is 26. you can check the work by adding 20 42 16 and 26 together which equals 104. 104 divided by 4 is 26!! so our answer is correct!!

8 plus 78 oooooooooooooooooooooooooooooooooooooooooooooo

Answers

Answer:

86 ✌️

Step-by-step explanation:

just get a calculator

If there were 18 boys at a leadership camp, how many girls were at that leadership camp

Answers

Answer:

0

Step-by-step explanation:

Dana saved 450 for food for her upcoming vacation. The breakfast was included with their hotel, but lunch and dinner are not. When Dana cooks lunch or dinner it costs on average 10 . When the family goes to a restaurant for lunch or dinner it costs on average 40 . Let c represent meals that Dana cooks and let r represent meals the family goes to restaurants for. Write an inequality to represent the situation.

Answers

Answer:

[tex]10d + 40r \leq 450[/tex]

Step-by-step explanation:

Given

[tex]Savings = 450[/tex]

[tex]Dana\ Cooks, d = 10[/tex]

[tex]Restaurant, r = 40[/tex]

Required

Represent this as an inequality

When Dana cooks;

[tex]Cost\ per\ meal = 10[/tex]

[tex]Cost\ per\ d\ meals = d * 10[/tex]

[tex]Cost\ per\ d\ meals = 10d[/tex]

At Restaurant

[tex]Cost\ per\ meal = 40[/tex]

[tex]Cost\ per\ r\ meals = 40 * r[/tex]

[tex]Cost\ per\ r\ meals = 40 r[/tex]

Add these two results:

[tex]Result = 10d + 40r[/tex]

To represent as an inequality, the above result must be less than or equal to Dana's total savings

i.e.

[tex]10d + 40r \leq 450[/tex]

Find the volume of the prism.

Please help hurry

14 ft
32 ft
3 ft
V = 12 ft
Write your answer as a mixed number that is simplified
completely, Enter the number that goes in the green box
Enter

Answers

Answer: 12.75 or 12 3/4

Step-by-step explanation:
3x3 2/5 also 3.4 x 1 1/4 or 1.25=?
3x3.4= 10.2
10.2x1.25=12.75

-i+5=t-19 please help

Answers

Answer:

t=24-i

Step-by-step explanation:Solve for t

by simplifying both sides of the equation, then isolating the variable.

Favorite type of music, choose the correct level of measurement

Answers

Answer:

The answer is "Nominal"

Step-by-step explanation:

Some of the data is missing which is defined in the attached file. please find it.

The standard measuring degree is nominal for the favorite type of music because the type of music it can be listening for depends on a variety of factors, like age, social or local environment, etc, and the wrong choice can be defined as follows:

It is wrong because the Ordinal does have a nominal or measuring element, however, the name system allows a ranked or a specific series of variables for all the variables to also be organized.  The ratio has the structure infections rate property, as well as the quantities ranges of the variable, provide value, that's why it is incorrect. It is wrong because the internal has the property of ordinal level rate as well as the vector values have significance.

How many ounces (oz) are 1 pound (lb)

Answers

the answer is 16 ounces

A person draws a card from a hat. Each card is one color, with the following probabilities of being drawn: 1/25 for black, 1/5 for yellow,1/15 for blue, and 1/10 for white. What is the probability of pulling a black or yellow card, written as a reduced fraction?

Answers

Step-by-step explanation:

P(black or yellow) = P(black) + P(yellow) − P(black and yellow)

P(black or yellow) = 1/25 + 1/5 − 0

P(black or yellow) = 6/25

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Answers

Answer: -2*(9n-4)/9

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The Jurassic period began approximately 200 million years ago. Approximate how many minutes have passed since the beginning of this period to the present day?

Answers

Answer:

Step-by-step explanation:

The exact result is 1.0518984 x 1011 Minutes

(sorry if this doesn't make much sense)

The required number of minutes have passed from the beginning of this period to the present day is 1.0512 * [tex]10^{14}[/tex] minutes

Given that,
The Jurassic period began approximately 200 million years ago. Approximate how many minutes have passed from the beginning of this period to the present day is to be determined.


What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

What is arithmetic?

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,

Here,
200 million = 200 * [tex]10^6[/tex]
Now,
200 * [tex]10^6[/tex] year = 200 * [tex]10^6[/tex] * 365 days
200 * [tex]10^6[/tex] * 365 days =  200 * [tex]10^6[/tex] * 365 * 24 hours
200 * [tex]10^6[/tex] * 365 * 24 hours = 200 * [tex]10^6[/tex] * 365 * 24 * 60 minutes
= 1.0512 * [tex]10^{14}[/tex] minutes

Thus, the required minutes that have passed from the beginning of this period to the present day is 1.0512 * [tex]10^{14}[/tex] minutes.

Learn more about arithmetic here:

brainly.com/question/14753192

#SPJ2

find the square root of each number . if the number is not a perfect square, estimate the squarer root to the nearest integer. 169, 24, 15, 40

Answers

Answer:

169 is 13^2

24 is 2(squareroot)6

15 is (squareroot)15

40 is 2(squareroot)10

Step-by-step explanation:

169 is 13^2

24 is 2(squareroot)6

15 is (squareroot)15

40 is 2(squareroot)10

Which of the following is not a rate?

Answers

Answer:

there are no options

Step-by-step explanation:

there's no image attached

yeah

Step-by-step explanation:

Plz help asap In 4 years, Harry’s age will be the same as Jim’s age is now. In 2 years, Jim will be twice as old as Harry will be. Find their ages now.

Answers

Answer:

Harry is 2, Jim is 6

Step-by-step explanation:

The first statement tells us they are 4 years part. Then you need to find two numbers that are 4 apart and that has one that is half the other, like 4 and 8. Finally, subtract two because this will happen in two years and you need their ages now.

Sorry if this was confusing.


Find the area of the figure.
9 yd
6,4 yd

Answers

Answer:

144 should be your answer

Step-by-step explanation:

When you SWITCH the HYPOTHESIS and the CONCLUSION you create the _________ statement.

Answers

Answer:

CONVERSE

Step-by-step explanation:

When you switch hypothesis and conclusion you are creating what is called the CONVERSE statement.

what is 3/5 as a percent

Answers

Answer:60%

Step-by-step explanation:

3 divided by 5 ten times by 100 and you get 60%

h e l p !!


is this table a linear function?

Answers

no because they are not following the same rule

Answer:

Yes

Step-by-step explanation:

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