What value of x is in the solution set of 4x - 12 ≤ 16 + 8x?
-10, -9, -8, -7

Solution:

Given: 4x - 12 ≤ 16 + 8x

Let's solve the inequality

⇒ 4x - 12 ≤ 16 + 8x

Add 12 on both sides

⇒ 4x - 12 + 12 ≤ 16 + 8x + 12

⇒ 4x ≤ 28 + 8x

Subtract 8x on both sides

⇒ 4x - 8x ≤ 28 + 8x - 8x

⇒ -4x ≤ 28

Divide both sides by 4.

⇒ -4x/ 4 ≤ 28/ 4

⇒ -x ≤ 7

⇒ x ≥ -7

Thus the solution set of the given inequality is (-7,∞)

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What value of x is in solution set of 4x - 12 ≤ 16 + 8x?

Summary:

The value of x in the solution set of 4x - 12 ≤ 16 + 8x is (-7,∞)