The absolute value of a number can be brought out as a distance on the number line from the origin
The inequalities having absolute value isolate them on one side of the inequality.
Now write a double inequality for the variable to satisfy.
The first simply drops the absolute value. The second inequality drops the absolute value but reverses the inequality sign and by a factor of -1 .
Example, the given inequality,
Break up this into the equivalent inequalities.
The final step is to isolate the variables and then plot the solution to the inequality by adding 5 to both sides.
Hence, the solution is