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Which one of the following is not true?...

Which one of the following is not true?

A

`A - B sube A`

B

`B' - A' sube A`

C

`A sube A - B`

D

`A nn B' sube A`

Text Solution

Verified by Experts

The correct Answer is:
C
By Venn diagram, it is clear that
`A-BsubeAandB'-A'subeAandAnnB'subeA" but "AcancelsubeA-B`
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ARIHANT MATHS-SETS, RELATIONS AND FUNCTIONS -Exercise (Single Option Correct Type Questions)
  1. Let f(x)=(x+1)^2-1, xgeq-1. Then the set {x :f(x)=f^(-1)(x)} is {0,1,(...

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  2. The number of elements of the power set of a set containing n elements...

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  3. Which one of the following is not true?

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  4. If A = {1, 2, 3} and B = {3, 8}, then (A uu B) xx (A nn B)is

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  5. Let A = {p, q, r}. Which of the following is an equivalence relation ...

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  6. Let A = {x : x is a multiple of 3} and B = {x : x is a multiple of 5),...

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  7. Let A = {1, 2, 3}, B = {3, 4} and C = {4, 5, 6}, the Auu(BnnC) is

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  8. Let A = {x, y, z), B = {u, v, w} and f : A rarr B be defined by f(x) =...

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  9. If A = {2, 4) and B = {3, 4, 5), then (A nn B) xx (A uu B) is

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  10. In the set X = {a, b, c, d}, which of the following functions in X?

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  11. The composite mapping fog of the maps f:R to R , f(x)=sin x and g:R to...

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  12. Which of the following is the empty set

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  13. In order that a relation R defined on a non-empty set A is an equivale...

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  14. Let A={p , q , r , s}\ a n d\ B={1,2,3}dot Which of the following rela...

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  15. For n,mepsilonN,n|m means that n is a factor of m then relation | is

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  16. Find all congruent solutions of 8x -= 6 (mod 14).

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  17. Let A be a set containing 10 distinct elements. Then the total number ...

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  18. write the value of cos^(-1)(1/2)-sin^(-1)(-1/2)

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  19. f and h are function from A rarr B, where A = {a, b, c, d} and B = {s,...

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  20. Let I be the set of integer and f : I rarr I be defined as f(x) = x^(2...

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