SOLUTION: Interval Notation with steps if possible. |13-5x|≤17

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Question 852738: Interval Notation with steps if possible.
|13-5x|≤17
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
|13-5x|≤17


-17 ≤ 13-5x ≤ 17


-17-13 ≤ -5x ≤ 17-13


-30 ≤ -5x ≤ 4


-30/(-5) ≥ x ≥ 4/(-5) ... Note: the inequality signs flip when you divide all sides by a negative number.


6 ≥ x ≥ -4/5


-4/5 ≤ x ≤ 6 ... rearrange the inequality (smallest to largest)


So the answer in interval notation is [-4/5, 6]