Question

-3 ≥ 6x + 39

Explanation:

Step1: Subtract 39 from both sides

To isolate the term with \( x \), we subtract 39 from both sides of the inequality \(-3 \geq 6x + 39\). This gives us \(-3 - 39 \geq 6x + 39 - 39\), which simplifies to \(-42 \geq 6x\).

Step2: Divide both sides by 6

To solve for \( x \), we divide both sides of the inequality \(-42 \geq 6x\) by 6. This gives us \(\frac{-42}{6} \geq \frac{6x}{6}\), which simplifies to \(-7 \geq x\) or equivalently \(x \leq -7\).

Answer:

\( x \leq -7 \)