To solve the inequality [tex]\( 13 < 15 + v \)[/tex] for [tex]\( v \)[/tex], we need to isolate [tex]\( v \)[/tex] on one side of the inequality. Here is the step-by-step process:
1. Start with the given inequality:
[tex]\[
13 < 15 + v
\][/tex]
2. Subtract 15 from both sides of the inequality to isolate [tex]\( v \)[/tex]:
[tex]\[
13 - 15 < v
\][/tex]
3. Simplify the left-hand side:
[tex]\[
-2 < v
\][/tex]
This means that [tex]\( v \)[/tex] must be greater than [tex]\(-2\)[/tex].
So, the solution to the inequality is:
[tex]\[
v > -2
\][/tex]
