what value of x is in the solution set of the inequality 4x - 12 ≤ 16 + 8x?\n-10\n-9\n-8\n-7
what value of x is in the solution set of the inequality 4x - 12 ≤ 16 + 8x?\n-10\n-9\n-8\n-7
Answer
Answer:
A. -10, B. -9, C. -8, D. -7
Explanation:
Step1: Rearrange the inequality
$4x - 12\leq16 + 8x$ can be rewritten as $4x-8x\leq16 + 12$.
Step2: Combine like - terms
$-4x\leq28$.
Step3: Solve for x
Dividing both sides by - 4, and reversing the inequality sign (since dividing by a negative number), we get $x\geq - 7$.
Among the options -10, -9, -8, -7, all of them satisfy the inequality $x\geq - 7$. So all of the given options are in the solution set.