SOLUTION: Solve and graph te inequality: /4x-7/-2<7 <----------- ----------- ----------- ->

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Question 495610: Solve and graph te inequality: /4x-7/-2<7
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Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Solve and graph the inequality: /4x-7/-2<7
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|4x-7|-2<7
solve for two conditions
4x-7-2<7
4x-9<7
4x<16
x<4
..
-(4x-7)-2<7
-4x+7-2<7
-4x+5<7
-4x<2
-x<1/2
multiply by (-1) and reverse inequality sign
x>-1/2
number line
<..........(-1/2......4)............>
(-1/2, 4)
solution: x>-1/2 and x<4