SOLUTION: could you please explain: solve the inequality 1/|x+3|>or=1/2 thank you

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Question 889100: could you please explain: solve the inequality 1/|x+3|>or=1/2 thank you
Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
The absolute value denominator is positive, so multiplying the members by it will require
no change in order direction.

So do that multiplication.
1%2Fabs%28x%2B3%29%3E=1%2F2
1%3E=%281%2F2%29abs%28x%2B3%29
continuing
2%3E=abs%28x%2B3%29

IF x%2B3%3E=0 THEN x%2B3%3C=2
x%3C=2-3
highlight_green%28x%3C=-1%29

IF x%2B3%3C0 THEN -x-3%3C2
-x%3C2%2B3
-x%3C5
-x%2A%28-1%29%3E5%2A%28-1%29 The direction of inequality must here be reversed as shown.
highlight_green%28x%3E-5%29

SOLUTION: highlight%28-5%3Cx%3C-1%29