**SOLVING EQUATIONS CONTAINING ABSOLUTE VALUE(S)**

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**if and only if****if and only if***a*+*b*= 3 or*a*+*b*= -3**Step 1:**Isolate the absolute value expression. **Step 2:**Set the quantity inside the absolute value notation equal to + and - the quantity on the other side of the equation. **Step 3:**Solve for the unknown in both equations. **Step 4:**Check your answer analytically or graphically.

Solve for x in the following equation.

Problem 3.2c :

Step1:

Step 2:

(the left side of the original equation minus the right side of the original equation).

You will note that there are no x-intercepts on the graph. Therefore, there are not solutions to this problem.

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