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

A. –32 < x < 20

B. –7 > x > 6

C. –6 < x < 6

D. –7 < x < 6

User Dbaxime
by
7.7k points

2 Answers

1 vote

Answer:

D. –7 < x < 6

Explanation:

User Pratham
by
7.4k points
3 votes
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<x<6

User NoOneElse
by
7.4k points
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