Question

Find the solution of the inequality

−4x+2≤−10
Question 3 options:

x≤2

x≥2

x≤3

x≥3

Answer 1

x ≥ 3

Explanation:

We have given a inequality.

−4x+2 ≤ −10

We have to find the solution of given inequality.

Adding -2 to both sides of given inequality, we have

-4x+2-2 ≤ -10-2

-4x ≤ -12

Cancelling negative sign from both sides of above inequality , we have

4x ≥ 12

Dividing by 4 to both sides of above equations, we have

x ≥ 3 which is the solution of inequality.

Answer 2

option D

x≥3

Explanation:

Given in the question an inequality

−4x + 2 ≤ −10

rearrange x terms to the left and constant to the right

-4x ≤ −10 - 2

-4x ≤ -12

cancel - on both sides, due to sign change inequality will also be change

4x ≥ 12

x ≥ 12/4

x ≥ 3

So, the solution of the inequality is x ≥ 3, x is greater than or equal to 3.