SOLUTION: My question is |x-2| < 1/2
And I have to express this in interval notation.
Any help would be great! thanks!
Algebra ->
Absolute-value
-> SOLUTION: My question is |x-2| < 1/2
And I have to express this in interval notation.
Any help would be great! thanks!
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Rules:
If C is a positive number, then
|Ax+B| < C | |Ax+B| > C
|
is equivalent to | is equivalent to
|
-C < Ax+B < C | Ax+B < -C OR Ax+B > C
[Same rules for < and >]
===================================================
|x-2| <
is equivalent to
< x-2 <
Multiply all three sides by 2
-1 < 2x-4 < 1
Add 4 to all three sides:
-1+4 < 2x-4+4 < 1+4
3 < 2x < 5
Divide all three sides by 2
< < < x <
Interval notation is
(, )
Edwin