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PAGE: 312SET: ExercisesPROBLEM: 1
Please look in your text book for this problem Statement

The inequality is .

Case 1: If a < b Then

Case 2: If a < b Then

  (Multiply each side by negative sign and flip the symbol)

               (Product of two same signs is positive)

Solve inequality for case 1.

Apply addition property of inequality: Add 5 to each side.

                  (Apply additive inverse property: )

                        (Add: )

Solve inequality for case 2.

Apply addition property of inequality: Add 5 to each side.

               (Apply additive inverse property: )

                        (Add: )

Graph the solution set on a number line.

absolute value inequality a - 5 < 3 on number line diagram

Note: A circle means that this point is not included in the solution set.

The solution set is .



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