Question

solve the inequality for x.
6x + 33 > 15
simplify your answer as much as possible.

Explanation:

Step1: Subtract 33 from both sides

To isolate the term with \( x \), we subtract 33 from both sides of the inequality \( 6x + 33 > 15 \). This gives us \( 6x + 33 - 33 > 15 - 33 \), which simplifies to \( 6x > -18 \).

Step2: Divide both sides by 6

To solve for \( x \), we divide both sides of the inequality \( 6x > -18 \) by 6. Since 6 is positive, the direction of the inequality sign remains the same. So we have \( \frac{6x}{6} > \frac{-18}{6} \), which simplifies to \( x > -3 \).

Answer:

\( x > -3 \)