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If A and B are subsets of the universal ...

If A and B are subsets of the universal set `cup`, then show that,
`A sub B iff A cup B = B`

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The correct Answer is:
`A sub B harr A cup B = B`
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KUMAR PRAKASHAN-SETS-SOLUTIONS OF NCERT EXEMPLAR PROBLEMS (SHORT ANSWER TYPE QUESTIONS)
  1. If L= {1, 2, 3, 4}, M= {3, 4, 5, 6} and N= {1, 3, 5}, then verify that...

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  2. If A and B are subsets of the universal set cup, then show that, A s...

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  3. If A and B are subsets of the universal set cup, then show that, A s...

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  4. If A and B are subsets of the universal set cup, then show that, (A ...

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  5. Given that N= {1, 2, 3, 4,……….., 100}. Then, write The subset of N w...

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  6. Given that N= {1, 2, 3, 4,……….., 100}. Then, write The subset of N w...

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  7. If X= {1, 2, 3}, if n represents any member of X, write the following ...

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  8. If X= {1, 2, 3}, if n represents any member of X, write the following ...

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  9. If X= {1, 2, 3}, if n represents any member of X, write the following ...

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  10. If X= {1, 2, 3}, if n represents any member of X, write the following ...

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  11. If Y= {1, 2, 3,………..,10} and a represents any element of Y, write the ...

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  12. If Y= {1, 2, 3,………..,10} and a represents any element of Y, write the ...

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  13. If Y= {1, 2, 3,………..,10} and a represents any element of Y, write the ...

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  14. A, B and C are subset of universal set cup. If A= {2, 4, 6, 8, 12, 20}...

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  15. Let cup be the set of all boys and girls in a school, G be the set of ...

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  16. A - (B capC) = (A - B) cap (A-C) .

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  17. For all sets A and B, (A - B) cup (A cap B)= A.

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  18. For all sets A, B and C, A - (B - C) = (A - B) - C.

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  19. For all sets A, B and C, if A sub B, then A cap C sub B cap C.

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  20. For all sets A, B and C, if A sub B, then A cup C sub B cup C.

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