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------------------------------------------------ Which best describes the solution set for the inequality below?

3x + 7 ≤ 4x - 8 or -2x + 3 ≥ 1

A. x ≤ 1 or x ≥ 15
B. x ≥ 1 or x ≤ 15
C. x ≥ 1
D. x ≤ 15

Answer :

The solution for the given inequalities is x≥15 or x≤1. Therefore, option A is the correct answer.

What are inequalities?

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

The given inequalities are 3x + 7 ≤ 4x-8 or-2x + 3≥1.

Here, 3x + 7 ≤ 4x-8

Subtract 3x on both the sides of an inequality, we get

7 ≤ x-8

Add 8 on both the sides of an inequality, we get

15≤ x

x≥15

Here, -2x + 3≥1

Subtract 3 on both the sides of an inequality, we get

-2x≥-2

Divide -2 on both the sides of an inequality, we get

x≤1

So, x≥15 or x≤1

Therefore, option A is the correct answer.

To learn more about the inequalities visit:

https://brainly.com/question/20383699.

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