SOLUTION: How would u solve: |3h+1| ------- < 8. Solve as inequalities as absolute value 2

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Question 1004122: How would u solve: |3h+1|
------- < 8. Solve as inequalities as absolute value
2
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
Only guess for what you try to say is abs(3h+1)/2<8 which should appear abs%283h%2B1%29%2F2%3C8.

Arrange ALL number or terms to be on ONE side only and 0 on the other side.
(not always the only way)

abs%283h%2B1%29%2F2-8%3C0

and easier without having denominators;
2%2Aabs%283h%2B1%29%2F2-2%2A8%3C2%2A0

abs%283h%2B1%29-16%3C0

highlight_green%28abs%283h%2B1%29%3C16%29

Think of the two cases, show this on a number line, but you have these two equations to solve:

CASE 3h%2B1%3C16
3h%3C16-1
3h%3C15
highlight%28h%3C5%29

CASE -3h-1%3C16
16%3E-3h-1
3h%2B16%3E-1
3h%3E-1-16
3h%3E-17
h%3E-17%2F3
highlight%28h%3E-5%262%2F3%29

Put the two cases together to show solution highlight%28-5%262%2F3%3Ch%3C5%29.
Any value BETWEEN those two for h will make the inequality true.