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8. Which of the following pairs of sets are disjoint(i) {1, 2, 3, 4} and {x: x is a natural number a

11. If R is the set of real numbers and Q is the set of rational numbers, then what is R – Q?

1. Find the union of each of the following pairs of sets:(i) X = {1, 3, 5} Y = {1, 2, 3}(ii) A = {a,

4. If A = {1, 2, 3, 4}, B = {3, 4, 5, 6}, C = {5, 6, 7, 8} and D = {7, 8, 9, 10}; find(i) A ∪ B(ii)

9. If A = {3, 6, 9, 12, 15, 18, 21}, B = {4, 8, 12, 16, 20},C = {2, 4, 6, 8, 10, 12, 14, 16}, D = {

4. Write down all the subsets of the following sets:(i) {a}(ii) {a, b}(iii) {1, 2, 3}(iv) Φ

2. Examine whether the following statements are true or false:(i) {a, b} ⊄ {b, c, a}(ii) {a, e}

1. Make correct statements by filling in the symbols ⊂ or ⊄ in the blank spaces:(i) {2, 3, 4

3. Let A= {1, 2, {3, 4,}, 5}. Which of the following statements are incorrect and why?

6. Write the following as intervals:(i) {x: x ∈ R, –4 x ≤ 6}(ii) {x: x ∈ R, –12 x –10}(iii)

1. Which of the following are examples of the null set(i) Set of odd natural numbers divisible by 2

6. From the sets given below, select equal sets:A = {2, 4, 8, 12}, B = {1, 2, 3, 4}, C = {4, 8,

5. Are the following pair of sets equal? Give reasons.(i) A = {2, 3}; B = {x: x is solutio

4. In the following, state whether A = B or not:(i) A = {a, b, c, d}; B = {d, c, b, a}(ii) A = {4, 8

3. Write the following sets in roster form:(i) A = {x: x is an integer and –3 x 7}.(ii) B = {x

4. Write the following sets in the set-builder form:(i) (3, 6, 9, 12) (ii) {2, 4, 8, 16, 32}(iii)

6. Match each of the set on the left in the roster form with the same set on the right described in

4. If U = {1, 2, 3, 4, 5,6,7,8, 9}, A = {2, 4, 6, 8} and B = {2, 3, 5, 7}. Verify that (A∪B)'=

1. Which of the following are sets? Justify our answer.(i) The collection of all months of a year

3. Taking the set of natural numbers as the universal set, write down the complements of the follo

6. Let U be the set of all triangles in a plane. If A is the set of all triangles with at least

2. If U = {a, b, c, d, e, f, g, h}, find the complements of the following sets:(i) A = {a, b, c}(i

5.Draw appropriate Venn diagram for each of the following: (A∪B)' A' ∩B' (A ∩B)' A’ ∪B'

3. In a group of 400 people, 250 can speak Hindi and 200 can speak English. How