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 3.2b :

Step1:

Step 2:** **

Step 3:

The answers are and .

Step 4:

- Left Side:
- Right Side:

Check the solution by substituting in the original
equation for x. If the left side of the equation equals the right
side of the equation after the substitution, you have found the
correct answer :

- Left Side:
- Right Side:

You can also check your answer by graphing
(the left side of the original equation minus the right side of the original
equation). You will note that the two x-intercepts on the graph are
located at and .

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