Question
Solve for \( v \) \( 469 \leq 2 v+389 \)
Ask by Estrada Patel. in the United States
Jan 23,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
\( v \geq 40 \)
Solution
To solve the inequality \( 469 \leq 2v + 389 \) for \( v \), follow these steps:
1. **Subtract 389 from both sides:**
\[
469 - 389 \leq 2v
\]
\[
80 \leq 2v
\]
2. **Divide both sides by 2:**
\[
\frac{80}{2} \leq v
\]
\[
40 \leq v
\]
3. **Rewrite the inequality:**
\[
v \geq 40
\]
**Solution:**
\[
v \geq 40
\]
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Mind Expander
To solve for \( v \) in the inequality \( 469 \leq 2v + 389 \), we start by isolating \( v \). 1. Subtract \( 389 \) from both sides: \[ 469 - 389 \leq 2v \] Simplifying this gives: \[ 80 \leq 2v \] 2. Next, divide both sides by \( 2 \): \[ \frac{80}{2} \leq v \] Which simplifies to: \[ 40 \leq v \] or \[ v \geq 40 \] So, the solution for \( v \) is \( v \geq 40 \).