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Absolute value question?
0 < abs(x-2) <1/2
So treating these as two inequalities I get
0< abs(x-2)
x<2 x>-2
AND
abs(x-2) < 1/2
x>2.5 x>1.5
So to write in interval form
(-infinity, -2) U (1.5,2.5)
Is this correct??
Thanks for the help
1 Answer
- 6 years ago
Pretty close. Just don't forget the other side of the inequality.
In your second step, you left out the part with 1/2, which you can't do if you want the inequality to be the same.
All the reasoning in the rest of the steps is fine.
