Question
Solve the inequality for \( y \) \[ -15+y>-7 \]
Ask by Vargas Lowe. in the United States
Jan 24,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
\( y > 8 \)
Solution
To solve the inequality:
\[
-15 + y > -7
\]
**Step 1: Isolate \( y \)**
Add 15 to both sides of the inequality to isolate \( y \):
\[
-15 + y + 15 > -7 + 15
\]
\[
y > 8
\]
**Solution:**
All real numbers greater than 8 satisfy the inequality. In interval notation, the solution is:
\[
y > 8 \quad \text{or} \quad (8, \infty)
\]
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Simplify this solution The Deep Dive
To solve the inequality \(-15 + y > -7\), start by isolating \(y\). You can do this by adding 15 to both sides of the inequality: \[ y > -7 + 15 \] Now, simplify the right side: \[ y > 8 \] So, the solution to the inequality is \(y > 8\).
