Sure, let's solve the inequality [tex]\(5 < y - 8\)[/tex] step-by-step.
1. Start with the given inequality:
[tex]\[
5 < y - 8
\][/tex]
2. Isolate [tex]\(y\)[/tex] on one side of the inequality.
To do this, we need to eliminate the [tex]\(-8\)[/tex] on the right side of the inequality. We can do this by adding [tex]\(8\)[/tex] to both sides.
[tex]\[
5 + 8 < y - 8 + 8
\][/tex]
3. Simplify the expression:
Adding 8 to both sides gives us:
[tex]\[
13 < y
\][/tex]
4. Rewrite the inequality:
The final inequality is:
[tex]\[
y > 13
\][/tex]
Therefore, the solution to the inequality [tex]\(5 < y - 8\)[/tex] is:
[tex]\[
y > 13
\][/tex]
This means that [tex]\(y\)[/tex] must be greater than 13.
