Question 420299: |x+3|<5 i got (2,8) 2 was correct 8 was not what did i do wrong? what is other value?
Answer by lwsshak3(11628)   (Show Source):
You can put this solution on YOUR website! x+3|<5 i got (2,8) 2 was correct 8 was not what did i do wrong? what is other value?
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Whenever you have a variable in the absolute expression, you must solve for two possibilites:
When the expression could be =>0
When the expression could be <0
In this case the expression is (x+3)
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x+3<5
x<2
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-x-3<5
-x<8
multiply by (-1) and reverse inequality sign
x>-8
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solution:
(-8,2)
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