Solve the following inequality and give the solution in interval notation. \( -4 v+5 \leq-15 \) or \( -3 v-2 \geq 19 \) Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The solution set in interval notation is B. The solution set is the empty set.

First, let's solve each inequality separately: 1. For the first inequality, \( -4v + 5 \leq -15 \): - Subtract 5 from both sides: \( -4v \leq -20 \) - Divide both sides by -4 (note the sign change): \( v \geq 5 \) 2. For the second inequality, \( -3v - 2 \geq 19 \): - Add 2 to both sides: \( -3v \geq 21 \) - Divide both sides by -3 (note the sign change): \( v \leq -7 \) Now, we combine the solutions from both inequalities. The first gives us \( v \geq 5 \) and the second gives \( v \leq -7 \). In interval notation, this means we have two separate intervals: \( (-\infty, -7] \) for the second inequality and \( [5, \infty) \) for the first inequality. Thus, the solution set in interval notation is: A. The solution set in interval notation is \( (-\infty, -7] \cup [5, \infty) \).