SOLUTION: What are the values of a and b, if any , where a abs(b-2)<0?

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Question 192075: What are the values of a and b, if any , where a abs(b-2)<0?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Since "b" is inside the absolute value and the absolute value of any number is ALWAYS positive, this means that abs%28b-2%29 is ALWAYS positive for any value of "b". So it doesn't matter what the value of "b" is.


What will determine whether a%2Aabs%28b-2%29 is positive or negative is if "a" is positive or negative. So when "a" is positive, then a%2Aabs%28b-2%29 is positive (since multiplying two positive numbers gives you a positive number). When "a" is negative, then a%2Aabs%28b-2%29 is negative (since the product of a negative and a positive number is negative).


So when a%3C0, then a%2Aabs%28b-2%29%3C0