Question

solve: -6x ≤ 42
a x ≤ 7
b x ≥ 7
c x ≤ -7
d x ≥ -7

Explanation:

Step1: Divide both sides by -6

When dividing an inequality by a negative number, the inequality sign flips. So, we have $\frac{-6x}{-6} \geq \frac{42}{-6}$ (note the flip from $\leq$ to $\geq$ because we divided by -6).

Step2: Simplify both sides

Simplifying gives $x \geq -7$.

Answer:

D. \( x \geq -7 \)