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Let A and B be two non- empty subsets of...

Let A and B be two non- empty subsets of a set X such that A is not a subset of B .Then

A

A is a subset of the complement of B

B

B is a subset of A

C

A and B are disjoint

D

A and the complement of B are non-disjoint

Text Solution

Verified by Experts

The correct Answer is:
D
`AsubeXandBsubeXandAsubeB`
In all 3 possible cases,
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ARIHANT MATHS ENGLISH-SETS, RELATIONS AND FUNCTIONS -Exercise (Single Option Correct Type Questions)
  1. For n,mepsilonN,n|m means that n is a factor of m then relation | is

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

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

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  4. Let A and B be two non- empty subsets of a set X such that A is not a ...

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

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

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  7. Which of the four statements given below is different from other?

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  8. Let A={1,\ 2,\ ,\ n} and B={a ,\ b} . Then the number of subjectio...

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  9. If function f:RtoR is defined by f(x)=3x-4 then f^(-1)(x) is given by

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  10. f:R to R is a function defined by f(x)=10x -7, if g=f^(-1) then g(x)=

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  11. Let R be a relation defined by R = {(a, b) : a ge b}, where a and b a...

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  12. If the sets A and B are defined are defined as A={(x,y):y=e^x, x in R}...

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  13. If function f:AtoB is a bijective , then f^(-1) of is

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  14. If f(y) = (y)/(sqrt(1-y^(2))), g(y) = (y)/(sqrt(1+y^(2))), then (fog) ...

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  15. f:R->R is defined as f(x)=2x+|x| then f(3x)-f(-x)-4x=

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  16. Let R and S be two non-void relations on a set A. Which of the followi...

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  17. Let f:R to R, g: R to R be two functions given by f(x)=2x-3,g(x)=x^(3)...

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  18. If f(x)=ax+b and g(x)=cx+d, then f(g(x))=g(f(x)) is equivalent to ...

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  19. If f: RvecRvecR are two given functions, then prove that 2m indot{if(x...

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  20. Let f: RvecRa n dg: RvecR be two given functions such that f is inject...

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