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Which of the following are examples of e...

Which of the following are examples of empty set? `{x : x^2-2=0\ a n d\ x` is rational`}`

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To determine whether the set defined by `{x : x^2 - 2 = 0 and x is rational}` is an empty set, we will follow these steps: ### Step 1: Solve the equation \(x^2 - 2 = 0\) We start by solving the equation \(x^2 - 2 = 0\). \[ x^2 = 2 \] ...
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RD SHARMA-SETS-Solved Examples And Exercises
  1. Which of the following are examples of empty set? Set of all even natu...

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  2. Which of the following are examples of empty set? Set of all even prim...

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  3. Which of the following are examples of empty set? {x : x^2-2=0\ a n d\...

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  4. Which of the following are examples of empty set? {x : x is a natural ...

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  5. Which of the following are examples of empty set? {x : x is a point co...

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  6. Are the following sets equal? A={x : x is a letter in the work reap} ,...

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  7. Are the following pairs of sets equal? Give reason. A={2,3}

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  8. Are the following pairs of sets equal? Give reason. A={x : x is a lett...

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  9. Which o the following sets are equal? A={x : x in N ,\ x<3},\ B={1,2}...

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  10. Show that the set of letters needed to spell “CATARACT” and the set of...

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  11. When we study two dimensional coordinate geometry, then the set of all...

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  12. If A={1,2,3},\ B={2,4,5,6}a n d\ C={1,3,5,7},\ t h e n\ U={1,2,3,4,5,6...

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  13. When we are using sets containing natural numbers, then N is the uni...

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  14. Let A={1,2,3}dot Then the subsets of A are:

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  15. If A is the void set varphi then P(A) has just one element varphi i.e....

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  16. An investigator interviewed 100 students to determine the performance ...

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  17. Show that n{P{P(P(varphi))}}=4.

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  18. Let A={a ,\ {b}},\ fin d\ P(A)

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  19. Consider the following sets varphi,\ A={1,2}, B={1,4,8}, C={1,2,4,6,8}...

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  20. Consider the following sets varphi,\ A={1,2}, B={1,4,8}, C={1,2,4,6,8}...

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