SOLUTION: i need help with this problem: Solve the inequality | 1/2 x + 1 | < 1/3 I think i should sqrt both sides to cancel out the brackets but i'm not too sure.

Algebra ->  Graphs -> SOLUTION: i need help with this problem: Solve the inequality | 1/2 x + 1 | < 1/3 I think i should sqrt both sides to cancel out the brackets but i'm not too sure.      Log On


   



Question 460035: i need help with this problem: Solve the inequality | 1/2 x + 1 | < 1/3
I think i should sqrt both sides to cancel out the brackets but i'm not too sure.

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Solve the inequality |1/2 x + 1| < 1/3
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The brackets are absolute value
Case 1:
x/2 + 1 < 1/3
x + 2 < 2/3
x < -4/3
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Case 2:
-1/2x - 1 < 1/3
-x/2 < 4/3
-x < 8/3
x > -8/3