Question

1. $-6 geq -6(y - 3)$

Explanation:

Step1: Distribute the -6 to terms inside parentheses

$-6 \geq -6y + 18$

Step2: Subtract 18 from both sides

$-6 - 18 \geq -6y$
$\implies -24 \geq -6y$

Step3: Divide by -6, reverse inequality

$\frac{-24}{-6} \leq y$
$\implies 4 \leq y$

Answer:

$y \geq 4$
(The number line with a closed dot at 4 and shading to the right correctly represents this solution.)