document.write( "Question 1207732: The solution set for |x| > 0 is {x|x cannot be 0}.
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Algebra.Com's Answer #845769 by ikleyn(52832) $\"\"$ $\"About$

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\n" ); document.write( "The solution set for |x| > 0 is {x|x cannot be 0}.
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document.write( "Take x from the given set  {x | x =/= 0}.\r\n" );
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document.write( "Then |x| > 0.\r\n" );
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document.write( "Thus, we proved that  \r\n" );
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document.write( "    if x is from the set {x | x=/= 0}, then the inequality |x| > 0 is valid.\r\n" );
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document.write( "Vice versa, let |x| > 0.   \r\n" );
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document.write( "Any real number, different from 0, satisfies this inequality.\r\n" );
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document.write( "Thus, we proved that \r\n" );
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document.write( "    if |x| > 0, then  x  belongs to the set  {x | x=/= 0}.  \r\n" );
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document.write( "It means that the solution set for |x| > 0  is {x | x=/=0}.\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved in full and explained completely.\r
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