Question

1. 38 - m ≤ 4(2 - m)

Explanation:

Step1: Expand the right side

Expand \(4(2 - m)\) to get \(8 - 4m\). So the inequality becomes \(38 - m \leq 8 - 4m\).

Step2: Move terms with m to left

Add \(4m\) to both sides: \(38 - m + 4m \leq 8 - 4m + 4m\), which simplifies to \(38 + 3m \leq 8\).

Step3: Isolate the constant term

Subtract 38 from both sides: \(38 + 3m - 38 \leq 8 - 38\), resulting in \(3m \leq -30\).

Step4: Solve for m

Divide both sides by 3: \(\frac{3m}{3} \leq \frac{-30}{3}\), so \(m \leq -10\).

Answer:

\(m \leq -10\)