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For sets (A cup B) cup ( A cap B)equals ...

For sets `(A cup B) cup ( A cap B)`equals (a) A' (b) B' (c) A
(d) None of these

A

A'

B

B'

C

A

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
D
`(A cup B) cup (A cap B)`
`=(A cap B)cup (A cap B) `
`=(A' cup A')cap (A' cup B) cap (B' cup A')cap (B' cup B)`
`A' cap { A' cup (B cap B'} cap U `
`=A' cap { A' phi } cap U`
`=A' cap A' cap U`
`=A' cap U=A '`
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CENGAGE PUBLICATION-SET THEORY AND REAL NUMBER SYSTEM -EXERCISES
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  2. The set (A cap B')cup (B cap C) equals a).A' cup B cup C b).A' cup ...

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  3. For sets (A cup B) cup ( A cap B)equals (a) A' (b) B' (c) A (d) Non...

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  4. Let U be the universal set and A cup B cup C = U , Then {(A- B) cup...

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  5. The shaded region in the given figure is

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  11. Integral value of x for, which (5x-1)lt(x+1)^2lt7x-3

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  12. If set A ={x|(x^2(x-5)(2x-1))/((5x+1)(x+2)) lt 0 } and Set B={x|(3x...

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  13. Number of intergers satisfying the inequality x^4- 29x^2+100 le 0 i...

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  14. If n gt 0 and exactly 15 integers satisfying (x+6)(x-4 ) (x-5) (2x-...

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  15. The solution of the inequality ((x+7)/(x-5)+(3x+1)/(2) )ge 0 is

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  16. The complete solution set of inequality ((x-5)^(1005)(x+8)^(1008)(x-1)...

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  17. Sum of solution of the equation |x|^3-4|x|^2+3|x|=0 is

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  18. Number of integral roots of |x-1||x^2-2|=2 is

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  19. The solution set of the inequlity (|x-2|-x)/(x)lt2 is

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  20. Number of solutions of the equation |2-|x||=x +4 is a.0 b.1 c.2 d.Inf...

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