Question 992657
2|2x-9|+4>6
subtract 4 from both sides of >
2|2x-9| > 2
divide both sides of > by 2
|2x-9| > 1
we have two cases to consider
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1) 2x-9 > 1
2x > 10
x > 5
2) -(2x-9) > 1
2x - 9 < -1
2x < 8
x < 4
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the solution is
x < 4 or x > 5
the intervals are
(-infinity, 4) or (5, +infinity)