Question

1. $5k - 2k > -9 = k > -3$

Explanation:

Step1: Combine like terms

$5k - 2k = 3k$, so the inequality becomes $3k > -9$

Step2: Isolate the variable $k$

Divide both sides by 3: $\frac{3k}{3} > \frac{-9}{3}$

Step3: Simplify to find solution

$k > -3$

Step4: Verify number line

An open circle at $-3$ with an arrow pointing right matches $k > -3$, which is correct.

Answer:

The solution to the inequality is $k > -3$, and the number line graph (open circle at $-3$, arrow right) correctly represents this solution.