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23 October, 22:31

Solve the inequality. |4x + 2| < 26

A. - 32 < x < 20

B. - 7 > x > 6

C. - 6 < x < 6

D. - 7 < x < 6

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Answers (1)
  1. 23 October, 22:47
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    Hello,

    Answer D

    1) if 4x+2>0 then |4x+2|=4x+2

    ==> 4x+2<26

    ==>4x<24

    ==>x<6

    2) if 4x+2<0 then |4x+2| = - (4x+2) = - 4x-2

    ==>-4x-2<26

    ==>-4x<28

    ==>x>-7

    thus - 7
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