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If universal set U={0,1,2,3,4,5,6,7}, A=...

If universal set U=`{0,1,2,3,4,5,6,7}, A={2,3,7}, B={4,6} and C={0,2,4,6}`. Find the following
(i) `A cap phi`
(ii) `B' cap C`
(iii) `A' cap C`
(iv) `A cap A'`

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Let's solve the given problem step by step. ### Given: - Universal set \( U = \{0, 1, 2, 3, 4, 5, 6, 7\} \) - Set \( A = \{2, 3, 7\} \) - Set \( B = \{4, 6\} \) - Set \( C = \{0, 2, 4, 6\} \) ...
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If universal set U={1,2,3,4,5,6,7,8,9}, A={1,5,6},B={4,8,9},C={3,2,6} Find the following: (i) A cap phi (ii) (A cup B) (iii) B cap A ,

Let U={1,2,3,4,5,6,7,8,9}, B={2,4,6,8} andC={3,4,5,6} Find (B-C)' .

If A={1,2,3,4},B={3,4,5},C={1,5,6} , then findof the following : (i) A cup B (ii) A cup (B cap C) (ii) A - B (iv) A - (B cup C) .

If U={1,2,3,4,5,6,7,8},A={3,4,5,6}and B={1,3,5,7} , then find each of the following : (i) A'cupB' (ii) A ' capB' (iii) (A cup B)' (iv) A' -B' .

Let U={1,2,3,4,5,6,7,8,9}, A={1,2,3,4},B={2,4,6,8} and C={3,4,5,6} Find : (i) A' (ii) B' (iii) (A cup C)' (iv) (A cap B)' (v) (A')' (vi) (B-C)' .

If A = {1,2,3,4},B={2,4,6,8} and C={3,4,5,6} , then find each of the following , (i) (A - B) cap C (ii) (A cap B) -C (iii) A- (B-C) (iv) A cup (B - C) .

If A{1,2,3},B={3,4}and C={4,5,6} , then find the each of the following : (i) A cap(B cupC) (ii) (A-B)cupC (iii) (A cupB)-C (iv) (A cap B)cup C .

If A={1,2,3,4},B={2,3,4,5} and C={4,5,6,7} , then find each of the following : (i) A - (B-C) (ii) (A- B) -C .

if A={1,2,3,4,5},B={2,4,6}and C={3,4,6} , then (Acup B) cap C is

If A={3,5,7,9,11},B={7,9,11,13},C={11,13,15} and D={15,17}, find : (i) A cap B (ii) B cap C (iii) A cap C cap D (iv) A cap C (v) B cap D

AAKASH INSTITUTE ENGLISH-SETS -EXAMPLE
  1. Which of the following are examples of the null set? (I) A={x: x in ...

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  2. State which of the following sets are finite sets or infinite set. In ...

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  3. Which of the following parir of sets are equal? Give reasons. (i) A=...

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  4. Consider the sets phi, A={1,2}, B={1,6,7}, C={1,2,3,4,5}. Insert the s...

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  5. Write the following sets as intervals (i) {x:x in R, -2 lt x lt 15} ...

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  6. Write the following intervals in set builder form. (i) [2,7] (ii) ...

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  7. Let A={2,4,8,16,32) and B={4,16} Show that A cup B=A

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  8. Let X= the sets of all letters in the word "DELHI" and Y=the sets of a...

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  9. Let A= sets of all letter in the word MATHEMATICS and B= sets of all...

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  10. (i) If A={x:x is a multiple of 2, x lt 15} and B={x:x in N} then find ...

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  11. Write down the complement of given sets: (i) A={x:x is an even integ...

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  12. If universal set U={0,1,2,3,4,5,6,7}, A={2,3,7}, B={4,6} and C={0,2,4,...

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  13. (i) Draw Venn diagram to represent A cap (B cup C) (ii) If A={1,2,3,4...

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  14. Prove the distributive law and De Morgan's law. (i) A cap (B cup C)=...

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  15. If X any Y are two sets such that X cup Y has 40 element X has 25 elem...

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  16. If A and B are two sets such that n(A)=12, n(B)=19 and (A cup B)=26 th...

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  17. If n(U)=50, n(A)=24, and n(B)= 30 where U is the universal set, then f...

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  18. In a class of 40 students, 24 like to play guitar and 25 like to play ...

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  19. In Class XI of a certain school, there are 30 students in a Mathematic...

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  20. In an university, out of 120 students, 15 opted mathematics only, 16 o...

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