Question

solve the inequality for y:
2y + 9 < 41
simplify your answer as much as possible.

Explanation:

Step1: Subtract 9 from both sides

To isolate the term with \( y \), we subtract 9 from both sides of the inequality \( 2y + 9 < 41 \). This gives us \( 2y + 9 - 9 < 41 - 9 \), which simplifies to \( 2y < 32 \).

Step2: Divide both sides by 2

To solve for \( y \), we divide both sides of the inequality \( 2y < 32 \) by 2. This gives us \( \frac{2y}{2} < \frac{32}{2} \), which simplifies to \( y < 16 \).

Answer:

\( y < 16 \)