SOLUTION: If the negative sign is outside of the absolute value what do I do to solve the problem. -|x|>8

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Question 224856: If the negative sign is outside of the absolute value what do I do to solve the problem. -|x|>8
Found 2 solutions by checkley77, MathTherapy:
Answer by checkley77(12844)   (Show Source): You can put this solution on YOUR website!
Treat the - sign just like you would a + sign until you divide..
-|x|>8
-x>8
x<-8 ans. [Note: whwn dividing by a negative value the > sign changes to a < sign.
-----------------
Also
-x>-8
x<-8/-1
x<8 ans.

Answer by MathTherapy(10555)   (Show Source): You can put this solution on YOUR website!
If the negative sign is outside of the absolute value what do I do to solve the problem. -|x|>8

If you look at the problem, you'll realize that there is no x-value that will make the inequality true. For instance, if x = 1,000,000, or - 1,000,000, the left side of the inequality WILL NEVER be greater than the right side.

Therefore, there are no solutions to this inequality, primarily because the left side of the inequality WILL ALWAYS yield a NEGATIVE VALUE, and whatever negative value that is, will NEVER be GREATER than 8.

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