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.
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-> 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.
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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) (Show Source):
|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