SOLUTION: Find the value of x in the inequality ]x-7[ is less than or equal to 2. NOTE- ][ are absolute value signs. Thanks, Pat

Question 150515: Find the value of x in the inequality ]x-7[ is less than or equal to 2.
NOTE- ][ are absolute value signs.
Thanks,
Pat
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
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

Add 7 to all sides

----------------------------------------------------

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

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.
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