Question

1. 21 - 9x ≥ -6

Explanation:

Step1: Subtract 21 from both sides

To isolate the term with \( x \), we subtract 21 from both sides of the inequality \( 21 - 9x \geq -6 \).

$$ 21 - 9x - 21 \geq -6 - 21 $$

Simplifying both sides, we get:

$$ -9x \geq -27 $$

Step2: Divide both sides by -9 (and reverse the inequality)

When dividing an inequality by a negative number, the direction of the inequality sign must be reversed. So we divide both sides of \( -9x \geq -27 \) by -9:

$$ \frac{-9x}{-9} \leq \frac{-27}{-9} $$

Simplifying both sides, we find:

$$ x \leq 3 $$

Answer:

\( x \leq 3 \)