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Show that A cap B = A cap C need not i...

Show that `A cap B = A cap C ` need not imply B=C

Text Solution

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Let A ={ 0,1}B={0,2,3} and C= { 0, 4,5 }
Accordingly `, A cap B = { 0} and A cap C= {0} `
Here `A cap B = A cap C ={0)`
Howerver , `B ne C ( 2 in B and 2 notin C )`
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