document.write( "Question 168285: pls. help.. I really find it hard to solve this problem/...hmp..
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document.write( "How many real numbers satisfies ||||x-1|-2|-3|-2|=1? What are they? \n" );
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Algebra.Com's Answer #124037 by stanbon(75887) ![]() You can put this solution on YOUR website! How many real numbers satisfies ||||x-1|-2|-3|-2|=1 \n" ); document.write( "------------------ \n" ); document.write( "|||x-1|-2|-3|-2 = 1 or |||x-1|-2|-3|-2 = -1 \n" ); document.write( "A. Looking at the 1st of these you get:\r \n" ); document.write( "\n" ); document.write( "||x-1|-2|-3|-2 = 1 or ||x-1|-2|-3|-2 = -1 \n" ); document.write( "B. Now, looking at the 1st of these you get: \n" ); document.write( "|x-1|-2|-3|-2 = 1 or |x-1|-2|-3|-2 = -1 \n" ); document.write( "C. And , looking at the 1st of these you get: \n" ); document.write( "}x-1|-2|-3| = 3 \n" ); document.write( "Then |x-1|-6 = 3 \n" ); document.write( "|x-1| = 9 \n" ); document.write( "x-1 = 9 or x-1 = -9 \n" ); document.write( "x = 10 or x = -8 \n" ); document.write( "------------------- \n" ); document.write( "Now, you would need to look at the 2nd part of B: \n" ); document.write( "|x-1|-2|-3|-2 = -1 \n" ); document.write( "}x-1|-6-2 = -1 \n" ); document.write( "|x-1|-8=-1 \n" ); document.write( "|x-1|= 7 \n" ); document.write( "x-1 = 7 or x-1 = -7 \n" ); document.write( "x = 8 or x = -6 \n" ); document.write( "----------------------- \n" ); document.write( "You would have to keep working thru both part of \"A\" . \n" ); document.write( "Cheers, \n" ); document.write( "Stan H.\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |