Answer:
-7
Step-by-step explanation:
Given inequality:
[tex]4x - 12 \leq 16 + 8x[/tex]
Subtract 4x from both sides:
[tex]\implies 4x - 12-4x \leq 16 + 8x -4x[/tex]
[tex]\implies -12\leq 16+4x[/tex]
Subtract 16 from both sides:
[tex]\implies -12-16\leq 16+4x-16[/tex]
[tex]\implies -28\leq 4x[/tex]
[tex]\implies 4x \geq -28[/tex]
Divide both sides by 4:
[tex]\implies 4x \div 4 \geq -28 \div 4[/tex]
[tex]\implies x \geq -7[/tex]
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.
