Question

1. $-5m - 7 \geq 43$

Explanation:

Step1: Add 7 to both sides

$-5m - 7 + 7 \geq 43 + 7$
$-5m \geq 50$

Step2: Divide by -5, reverse inequality

$\frac{-5m}{-5} \leq \frac{50}{-5}$
$m \leq -10$

Step3: Graph on number line

Draw a closed circle at $-10$, shade all values to the left (towards negative infinity) to represent all $m$ less than or equal to $-10$.

Answer:

$m \leq -10$
(Graph: Closed circle at $-10$, arrow pointing left on the provided number line)