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Solve for \( v \) \( 469 \leq 2 v+389 \)

Ask by Estrada Patel. in the United States
Jan 23,2025

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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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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 \( v \geq 40 \).

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