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Solving Inequalities with Absolute Value Signs

I will use parentheses for absolute value signs. I need help to solve these two equations.

1. 3(s) - 2 >7


2. 6 - (2 - p) < 4

Solution Preview

Solving inequalities can be tricky. First of all, you have to understand the definition of absolute value to see why there are always two equations to solve.

The definition of absolute value says that

|x| = x, if x >=0


|x| = -x if x < 0

This definition may look very puzzling, but if you think about it for a while, it makes sense. Remember, the absolute value of
a number can never be negative.

For example, if x = 3, then |x| = 3, because 3 > 0. However, ...

Solution Summary

In reference to solving inequalities with absolute value signs, this solution solves two equations providing step-by-step instructions.