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:

\( x \leq 3 \)