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.
Example 2:
Step1: Isolate the absolute value expression by adding 8 to both sides of the equation.
Step 2: Set the quantity within the absolute value notation to
.
Step 3: Solve for x in both equations.
The answers are
and
.
Step 4: 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: 10
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: 10
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
.
If you would like to go work another example, click on
Example.
If you would like to test yourself by working some problems similar
to this example, click on Problem.
If you would like to go back to the equation table of contents, click
on Contents.