Question
Solve the inequality for \( y \). \[ y-2.5 \geq-1.7 \]
Ask by Moran Gough. in the United States
Jan 23,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
\( y \geq 0.8 \)
Solution
To solve the inequality for \( y \):
\[
y - 2.5 \geq -1.7
\]
**Step 1:** Add \( 2.5 \) to both sides of the inequality to isolate \( y \).
\[
y - 2.5 + 2.5 \geq -1.7 + 2.5
\]
**Step 2:** Simplify both sides.
\[
y \geq 0.8
\]
**Solution:**
\[
y \geq 0.8
\]
This means that any value of \( y \) that is **0.8 or greater** satisfies the original inequality.
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Simplify this solution Extra Insights
To solve the inequality \( y - 2.5 \geq -1.7 \), you need to isolate \( y \) on one side. Start by adding \( 2.5 \) to both sides: \[ y - 2.5 + 2.5 \geq -1.7 + 2.5 \] This simplifies to: \[ y \geq 0.8 \] So the solution to the inequality is \( y \geq 0.8 \).
