Question

solve the inequality for y.
y + 9 > 17
simplify your answer as much as possible.

Explanation:

Step1: Subtract 9 from both sides

To solve the inequality \( y + 9>17 \), we need to isolate \( y \). We can do this by subtracting 9 from both sides of the inequality. The subtraction property of inequalities states that if we subtract the same number from both sides of an inequality, the direction of the inequality sign remains the same. So, we have:
\( y + 9-9>17 - 9 \)

Step2: Simplify both sides

Simplifying the left - hand side, \( y+9 - 9=y \). Simplifying the right - hand side, \( 17-9 = 8 \). So the inequality simplifies to \( y>8 \).

Answer:

\( y>8 \)