Homework Help: MHF4U

Posted by jc on Saturday, February 16, 2013 at 10:54am.

Solve:

12+4|6x−1|<4

5−6|x+7|less than or equal to 17

...can you please explain to me..
i know that it's like solving algebraically but one of them has no solution..

MHF4U - Henry, Sunday, February 17, 2013 at 4:17pm
1. 12 + 4|6x-1| < 4.
4|6x-1| < 4-12
4|6x-1| < -8
|6x-1| < -2
6x - 1 < -2
6x < -2+1
6x < -1
X < -1/6.
The calculated value of X does not satisfy the inequality. Make sure the problem is copied correctly.

2. 5 -6|x+7| <= 17
-6|x+7| <= 17-5
-6|x+7| <= 12
|x+7| >= -2
x+7 >= -2
X >= -2-7
X >= -9.

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