Question

1: -4x + 9 ≤ 37

Explanation:

Step1: Subtract 9 from both sides

To isolate the term with \( x \), we subtract 9 from both sides of the inequality \( -4x + 9 \leq 37 \). This gives us \( -4x + 9 - 9 \leq 37 - 9 \), which simplifies to \( -4x \leq 28 \).

Step2: Divide by -4 (reverse inequality)

When dividing an inequality by a negative number, we reverse the inequality sign. So, dividing both sides of \( -4x \leq 28 \) by -4, we get \( \frac{-4x}{-4} \geq \frac{28}{-4} \), which simplifies to \( x \geq -7 \).

Answer:

\( x \geq -7 \)