SOLUTION: Can someone please help me solve the inequality and graph the solution. |x|(less than or equal to) 14

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Start with the given inequality


Break up the absolute value (remember, if you have , then and )

and Break up the absolute value inequality using the given rule


Combine the two inequalities to get a compound inequality



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Answer:

So our answer is




So the answer in interval notation is []


Also, the answer in set-builder notation is


Here's the graph of the solution set on a number line:

Graph of the solution set

Note:
There is a closed circle at which means that we're including this value in the solution set
Also, there is a closed circle at which means that we're including this value in the solution set.