SOLUTION: I have an absolute value inequality that I have trouble with. {{{-2*abs(x+4)<22}}} How do I do this with the -2? I have all other problems done, and I know what the answer is (

Algebra ->  College  -> Linear Algebra -> SOLUTION: I have an absolute value inequality that I have trouble with. {{{-2*abs(x+4)<22}}} How do I do this with the -2? I have all other problems done, and I know what the answer is (      Log On


   

Question 765948: I have an absolute value inequality that I have trouble with.
-2%2Aabs%28x%2B4%29%3C22
How do I do this with the -2? I have all other problems done, and I know what the answer is (should be true for all numbers, as the left side of the inequality is always negative), but I cannot show it mathematically. Can you please show me how to get the solution?
Answer by MaartenRU(13) About Me  (Show Source):
You can put this solution on YOUR website!
I must agree. +abs%28x%2B4%29%3E0 for all x by definition, so -2%2Aabs%28x%2B4%29%3C0 for all x. 0%3C22, obviously, so -2%2Aabs%28x%2B4%29%3C22 is true for all x. Perhaps you read the problem wrong, or your teacher is pulling a prank?