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Let A,B and C be three sets. Show by mea...

Let A,B and C be three sets. Show by means of examples that each of the following statements is false:
if `A cancelsubB and B cancelsubC" then "A cancelsubC`

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The correct Answer is:
Let `A={a,b},B={b,c} and C={a,b,d};` then, `A cancelsubB and B cancelsubC" but "A subC.`
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CHHAYA PUBLICATION-SET THEORY -Short answer type questions
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  2. Let A,B and C be three sets. Show by means of examples that each of th...

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  3. Let A,B and C be three sets. Show by means of examples that each of th...

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  6. For any two sets A and B, prove the following : A-B=A-(AcapB)

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  7. For any two sets A and B, prove the following : A-B=AcapB'

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  8. For any two sets A and B, prove the following : B-A^c =AcapB

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  9. For any two sets A and B, prove the following : B sube(A-B)^c

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  10. For any two sets A and B, prove the following : (A cupB)-(AcapB)=(A-...

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  11. For any two sets A and B, prove the following : (A-B)cup(AcapB)=A

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  12. Let ZZ be the set of integers and A={x:x =6n, n in ZZ},B={x : x =4n,n ...

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  13. Using set operations find the H.C.F. of the numbers 12, 15 and 18.

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  14. Applying set operations find the L.C.M. of the numbers 15, 25 and 30.

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  15. If r,s,t are prime numbers and p,q are the positive integers such that...

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  17. Use a Venn diagram to solve the following problem: In a statistical ...

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