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

O-10
997
-9
-8
O-7

User Rodbv
by
8.4k points

2 Answers

5 votes

Answer:

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.

User Jovibor
by
8.4k points
2 votes

Answer:

-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.

User Peter Obiechina
by
8.4k points

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