Let's solve the inequality [tex]\( y + 5 < -13 \)[/tex].
1. Start with the given inequality:
[tex]\[
y + 5 < -13
\][/tex]
2. Isolate the variable [tex]\( y \)[/tex] by eliminating the constant on the left side:
- To do this, subtract 5 from both sides of the inequality. This helps to isolate [tex]\( y \)[/tex] on one side of the inequality.
[tex]\[
y + 5 - 5 < -13 - 5
\][/tex]
3. Simplify both sides:
- On the left side, [tex]\( 5 - 5 \)[/tex] cancels out, leaving just [tex]\( y \)[/tex].
- On the right side, perform the arithmetic operation [tex]\( -13 - 5 \)[/tex].
[tex]\[
y < -18
\][/tex]
So, we have found our solution.
The solution to the inequality [tex]\( y + 5 < -13 \)[/tex] is:
[tex]\[
y < -18
\][/tex]
