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Solve the inequalities below. Graph your solutions on a number line.

Read Math Note box in Lesson 9.1.3 on solving inequalities and 9.2.2 on solving absolute value equations.


Make sure the symbols are isolated. Then set and

Solve for in both equations. These are your boundary points. Graph them on a number line.
Remember boundary point is not included and boundary is included.

Test a point above, between, and below the boundary point in the original absolute value equation.
If it is true that portion of the line contains solutions to the inequality.
If it is false that portion of the line does not contain solutions to the inequality.


    Follow steps from part (a):