12. Which inequality is true when the value of \( v \) is -12 ? \( \begin{array}{ll}\text { A. }-v-2 \leq 5 & \text { B. }-v-2 \leq-5 \\ \text { C. } v-2 \geq-5 & \text { D. }-v-2 \geq-5\end{array} \)

1. Substitute \( v = -12 \) into each inequality. 2. For inequality A, \[ -v - 2 \leq 5 \quad \text{becomes} \quad -(-12) - 2 \leq 5. \] Simplify: \[ 12 - 2 \leq 5 \quad \Longrightarrow \quad 10 \leq 5, \] which is false. 3. For inequality B, \[ -v - 2 \leq -5 \quad \text{becomes} \quad 12 - 2 \leq -5. \] Simplify: \[ 10 \leq -5, \] which is false. 4. For inequality C, \[ v - 2 \geq -5 \quad \text{becomes} \quad -12 - 2 \geq -5. \] Simplify: \[ -14 \geq -5, \] which is false. 5. For inequality D, \[ -v - 2 \geq -5 \quad \text{becomes} \quad 12 - 2 \geq -5. \] Simplify: \[ 10 \geq -5, \] which is true. Thus, the correct inequality is \( -v-2 \geq -5 \).