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4) -6(n - 6) ≤ 12

Question

  1. -6(n - 6) ≤ 12

Explanation:

Step1: Distribute -6

$-6n + 36\leq12$

Step2: Subtract 36 from both sides

$-6n+36 - 36\leq12 - 36$
$-6n\leq - 24$

Step3: Divide both sides by -6 and reverse the inequality sign

$\frac{-6n}{-6}\geq\frac{-24}{-6}$
$n\geq4$

Answer:

$n\geq4$