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Solve the compound inequality for x and identify the graph of its solution.
x+5 s 1 or x-7> -3
Help ASAP


Solve The Compound Inequality For X And Identify The Graph Of Its Solution X5 S 1 Or X7gt 3 Help ASAP class=

Sagot :

Answer:

option C

Step-by-step explanation:

x + 5 <= 1

taking down 5 from both the sides

x + 5 - 5 <= 1 - 5

x <= -4 ...inequality (¡)

x - 7 > -3

taking down -7 from both the sides

x - 7 + 7 > -3 + 7

x > 4 ...inequality (¡¡)

hence, the answer is x <= -4 or x > 4

and it's graph is that of option C.

options A and C displays the same graphical representation but A ain't correct cause the inequality it carried does match with the one obtained as answer.

<= denotes less than or equal to

to plot x <= a

we move towards the left of "a" on the number line it and place a dot on a

> represents greater than

to plot x > b

we kove towards the right of "b" on the number line and place a hollow point on b.

Considering the definition of an inequiality, the result of the inequality is x≤ -4 or x>4. So, the correct answer is option C.

Inequality

An inequality is an algebraic inequality in which its two members are joined by one of these signs >, <, ≥ and ≤ in which there are one or more unknown values ​​called unknowns, in addition to certain known data.

The existing inequality between the two algebraic expressions is only verified, or rather, it is only true for certain values ​​of the unknown.

Solving an inequality consists of finding all the values ​​of the unknown for which the inequality relation holds.

Solving x +5 ≤ 1

First of all, keep in mind that when a value that you are adding passes to the other side of the inequality, it will do so by subtracting.

Solving in this case: x≤1 -5

x≤ -4

Solving x -7> -3

If a value you are subtracting goes to the other side of the inequality, it will do so by adding.

Solving in this case: x> -3 +7

x>4

Summary

In summary, the result of the inequality is x≤ -4 or x>4. So, the correct answer is option C.

Learn more about inequality:

https://brainly.com/question/24372553

https://brainly.com/question/14361489

https://brainly.com/question/1462764

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