SOLUTION: Solve |4-5x| ≤ 9. Solve |3x+1| > 8.

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Question 1186195: Solve |4-5x| ≤ 9.
Solve |3x+1| > 8.
Answer by Edwin McCravy(20065)   (Show Source): You can put this solution on YOUR website!


Rewrite without absolute values:



Solve for x in the middle:

Add -4 to all three sides:





Divide through by -5, which reverse the inequalities:





Rewrite the inequality using ≤



In interval notation, that is written:



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



Rewrite without absolute values:



Solve each part for x.  Add -1 to all sides





Divide all sides by 3





In interval notation that's:



Edwin
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