document.write( "Question 352544: set A consists all multiples of 5 greater than 10 and less than 100. Set B consists of all multiples of 8 greater than 16 and less than 100. Show that each conjecture is false by finding a counter example. \r
\n" ); document.write( "\n" ); document.write( "a any number in set A is also in set B\r
\n" ); document.write( "\n" ); document.write( "b any number less than 100 is either in set A or in set B\r
\n" ); document.write( "\n" ); document.write( "c no number is in both set A and set B
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Algebra.Com's Answer #252063 by Edwin McCravy(20063) $\"\"$ $\"About$

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Set A consists of all multiples of 5 greater than 10 and less than 100.
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document.write( "A = {15,20,25,30,35,40,45,50,55,60,65,70,75,80,85,90,95} \r\n" );
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\n" ); document.write( "Set B consists all multiples of 8 greater than 16 and less than 100.
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document.write( "B = {24,32,40,48,56,64,72,80,88,96}\r\n" );
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\n" ); document.write( "Show that each conjecture is false by finding a counter-example
\n" ); document.write( "a any number in set A is also in set B
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document.write( "That's false because 15 is in A but not in B\r\n" );
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\n" ); document.write( "b any number less than 100 is either in set A or in set B
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document.write( "That's false because 99 is neither in set A nor in set B.\r\n" );
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\n" ); document.write( "c no number is in both set A and set B
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document.write( "That's false because 40 (and also 80) is in both sets.\r
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document.write( "Edwin \n" );
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