Question
Solve the inequality for \( u \). \( \quad-2>u-6 \) Simplify your answer as much as possible. \( \square \)
Ask by Medina Wade. in the United States
Jan 22,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
\( u < 4 \)
Solution
To solve the inequality for \( u \):
\[
-2 > u - 6
\]
**Step 1:** Add 6 to both sides of the inequality to isolate \( u \).
\[
-2 + 6 > u - 6 + 6
\]
\[
4 > u
\]
**Step 2:** Rewrite the inequality to express \( u \) on the left side.
\[
u < 4
\]
**Solution:**
\[
u < 4
\]
Reviewed and approved by the UpStudy tutoring team
Like
error msg
Explain 
Simplify this solution Bonus Knowledge
To solve the inequality \(-2 > u - 6\), we start by isolating \(u\). We can do this by adding \(6\) to both sides: \[ -2 + 6 > u \] This simplifies to: \[ 4 > u \] or, writing it in a more conventional format, we have: \[ u < 4 \] So the solution to the inequality is \(u < 4\).
