Question

1. solve the following inequality: 4x - 16 ≤ 24

Explanation:

Step1: Add 16 to both sides

To isolate the term with \( x \), we add 16 to both sides of the inequality \( 4x - 16 \leq 24 \). This gives us \( 4x - 16 + 16 \leq 24 + 16 \), which simplifies to \( 4x \leq 40 \).

Step2: Divide both sides by 4

To solve for \( x \), we divide both sides of the inequality \( 4x \leq 40 \) by 4. This gives us \( \frac{4x}{4} \leq \frac{40}{4} \), which simplifies to \( x \leq 10 \).

Answer:

\( x \leq 10 \)