SOLUTION: Professor I'm confused with this inequality. |-4x-7| > -4 The answer would be (-infinity,infinity) right? The rules with the signs are confusing. Thank you so much.

Algebra ->  Absolute-value -> SOLUTION: Professor I'm confused with this inequality. |-4x-7| > -4 The answer would be (-infinity,infinity) right? The rules with the signs are confusing. Thank you so much.      Log On


   



Question 649513: Professor I'm confused with this inequality. |-4x-7| > -4 The answer would be (-infinity,infinity) right? The rules with the signs are confusing. Thank you so much.
Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!

|Ax+B| < or < (negative number)

has no solution

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|Ax+B| > or > (negative number)

has solution (-infinity, infinity)

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|Ax+B| < 0 

has no solution

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|Ax+B| < 0

has one solution x = -B/A

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|Ax+B| < (positive number)

(negative of positive number) < Ax+B < (positive number)

Solve for x in the middle

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|Ax+B| < (positive number)

(negative of positive number) < Ax+B < (positive number)

Solve for x in the middle

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|Ax+B| > (positive number)

Ax+B < (negative of positive number) OR Ax+B > (positive number)

Solve each for x

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|Ax+B| > (positive number)

Ax+B < (negative of positive number) OR Ax+B > (positive number)

Solve each for x

Edwin