SOLUTION: 4|7x+9|-3<17

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Question 777794: 4|7x+9|-3<17
Answer by jim_thompson5910(35256) (Show Source):
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4|7x+9|-3 < 17

4|7x+9| < 17+3

4|7x+9| < 20

|7x+9| < 20/4

|7x+9| < 5

-5 < 7x+9 < 5

-5-9 < 7x < 5-9

-14 < 7x < -4

-14/7 < x < -4/7

-2 < x < -4/7

Final Answer: -2 < x < -4/7