SOLUTION: how do you solve |2-x|<4

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Question 927368: how do you solve
|2-x|<4
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
2-x can be non-negative or it can be negative. Solve for both conditions.

abs%282-x%29%3C4, argument is non-negative
2-x%3C4
-x%3C4-2
x%3E2-4
x%3E-2

abs%282-x%29%3C4, if argument is negative
-%282-x%29%3C4
-2%2Bx%3C4
x%3C4%2B2
x%3C6

Put these two parts together: highlight%28-2%3Cx%3C6%29