Question

1. solve the inequality and graph its solution.

$\boldsymbol{ -\frac{ k }{ 13 } \leq -6 }$

Explanation:

Step1: Multiply both sides by -13

When multiplying both sides of an inequality by a negative number, the inequality sign flips. So we have \(-\frac{k}{13} \times (-13) \geq -6 \times (-13)\) (note the flip from \(\leq\) to \(\geq\)).
Simplifying both sides: \(k \geq 78\)

Answer:

The solution to the inequality \(-\frac{k}{13} \leq -6\) is \(k \geq 78\). For the graph, it would be a number line with a closed circle at 78 (since the inequality is "greater than or equal to") and an arrow pointing to the right (towards positive infinity) to represent all values of \(k\) that are 78 or greater.