Solve for v.

Question

6≥v+14≥–4
Write your answer as a compound inequality with integers.

Answer 1

To solve the compound inequality \( 6 \geq v + 14 \geq -4 \), we will break it down into two separate inequalities and solve for \( v \).

1. Solve the first part: \[ 6 \geq v + 14 \] Subtract 14 from both sides: \[ 6 - 14 \geq v \] This simplifies to: \[ -8 \geq v \quad \text{or} \quad v \leq -8 \]

2. Solve the second part: \[ v + 14 \geq -4 \] Subtract 14 from both sides: \[ v \geq -4 - 14 \] This simplifies to: \[ v \geq -18 \]

Now we combine the two results to form the compound inequality: \[ -18 \leq v \leq -8 \]

Thus, the solution is: \[ \boxed{-18 \leq v \leq -8} \]