Question

solve the inequality -5n - 6 ≥ 24. n? ?

Explanation:

Step1: Add 6 to both sides

To isolate the term with \( n \), we add 6 to both sides of the inequality.
\( -5n - 6 + 6 \geq 24 + 6 \)
Simplifying both sides gives:
\( -5n \geq 30 \)

Step2: Divide by -5 and reverse inequality

When dividing an inequality by a negative number, we must reverse the inequality sign. We divide both sides by -5:
\( \frac{-5n}{-5} \leq \frac{30}{-5} \)
Simplifying gives:
\( n \leq -6 \)

Answer:

\( n \leq -6 \)