Question

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

O-10
997
-9
-8
O-7

Answer 1

x ≥ -7

Explanation:

Given inequation,

→ 4x - 12 ≤ 16 + 8x

Then the value of x will be,

→ 4x - 12 ≤ 16 + 8x

→ 4x - 8x ≤ 16 + 12

→ -4x ≤ 28

→ x ≥ 28/-4

→ [ x ≥ -7 ]

Hence, the value of x is -7.

Answer 2

-7

Explanation:

Given inequality:

`4x - 12 \leq 16 + 8x`

Subtract 4x from both sides:

`\implies 4x - 12-4x \leq 16 + 8x -4x`

`\implies -12\leq 16+4x`

Subtract 16 from both sides:

`\implies -12-16\leq 16+4x-16`

`\implies -28\leq 4x`

`\implies 4x \geq -28`

Divide both sides by 4:

`\implies 4x / 4 \geq -28 / 4`

`\implies x \geq -7`

This means that x is equal to or greater than -7.

Therefore, the value of x that is in the solution set of the inequality is -7 as -10, -9 and -8 are all less than -7.