document.write( "Question 192075: What are the values of a and b, if any , where a abs(b-2)<0? \n" ); document.write( "

Algebra.Com's Answer #144126 by jim_thompson5910(35256) $\"\"$ $\"About$

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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.\r
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\n" ); document.write( "\n" ); document.write( "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).\r
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\n" ); document.write( "\n" ); document.write( "So when $\"a%3C0\"$ , then $\"a%2Aabs%28b-2%29%3C0\"$ \n" ); document.write( "

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