To solve the inequality \( -13 - 4v > 7 \) for \( v \), follow these steps:
1. Isolate the term with \( v \):
– Start by adding 13 to both sides of the inequality to isolate the term involving \( v \):
[tex]\[
-13 - 4v + 13 > 7 + 13
\][/tex]
Simplifying both sides gives:
[tex]\[
-4v > 20
\][/tex]
2. Solve for \( v \):
– Next, divide both sides of the inequality by -4 to solve for \( v \). Remember, dividing both sides of an inequality by a negative number reverses the inequality sign:
[tex]\[
v < \frac{20}{-4}
\][/tex]
Simplifying the right-hand side gives:
[tex]\[
v < -5
\][/tex]
Thus, the solution to the inequality \( -13 - 4v > 7 \) is:
[tex]\[
v < -5
\][/tex]
