Final answer:
The inequality -8 < 32 is solved by subtracting 32 from both sides, resulting in -40 < 0, which is a true statement and shows the original inequality was true. No further steps are required to solve it.
Step-by-step explanation:
The question given is to solve the inequality -8 < 32. To do this, one approach is to use properties of inequalities to manipulate the inequality without changing its essential meaning.
Since adding or subtracting the same number on both sides of an inequality does not change the inequality, you can subtract 32 from both sides to simplify it.
Here is the step-by-step process:
- -8 < 32
- -8 - 32 < 32 - 32
- -40 < 0
After subtracting 32 from both sides, the inequality simplifies to -40 < 0, which is a true statement and means that the original inequality was also true.
Therefore, no further action is needed to solve the inequality since the statement is already in its simplest form.