document.write( "Question 1044755: Question 1044751: hello,
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document.write( " why does |2x-3| + 4 =2 have no solution.
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document.write( " please show steps in coming to that.
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document.write( " thanks
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document.write( "Answer by MaxWong(13) About Me (Show Source):
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document.write( "You can put this solution on YOUR website!
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document.write( " |2x-3|+4=2
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document.write( " |2x-3|=-2
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document.write( " An absolute value of a number, no matter positivity or negativity, could not be a negative number. Therefore no solution. \r
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document.write( "o.k. thanks, but now why does |x-7|= 12 have the set {19,-5} as a solution. clearly -5 is a negative number.
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document.write( "what am I missing here??
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document.write( "thanks \n" );
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Algebra.Com's Answer #660120 by Boreal(15235)![]() ![]() You can put this solution on YOUR website! |x-7|=12 \n" ); document.write( "x-7=12; x=19 \n" ); document.write( "(x-7)=-12; x=-5 \n" ); document.write( "The reason it works is x is negative but |(x-7)| is |(-12)| which is 12. \n" ); document.write( "The absolute value of something can't be negative BUT the absolute value of a negative number is positive and exists. \n" ); document.write( " \n" ); document.write( " |