Question

solve the inequality for y.

y - 16 > -13

simplify your answer as much as possible.

Explanation:

Step1: Add 16 to both sides

To isolate \( y \), we add 16 to both sides of the inequality \( y - 16 > -13 \). This is based on the addition property of inequalities, which states that adding the same number to both sides of an inequality does not change the inequality sign.

$$ y - 16 + 16 > -13 + 16 $$

Step2: Simplify both sides

Simplifying the left side, \( y - 16 + 16 \) simplifies to \( y \). Simplifying the right side, \( -13 + 16 = 3 \).

$$ y > 3 $$

Answer:

\( y > 3 \)