Скачать или смотреть TN Class 9 Maths | Exercise 1.3 Full - All sums| Set Language | Alexmaths

1. Using the given Venn diagram, write the elements
of
(i) A (ii) B (iii) A∪B (iv) A∩B
(v) A–B (vi) B–A (vii) A′ (viii) B′
(ix) U
2. Find A∪B, A∩B, A–B and B–A for the following sets.
(i) A = {2, 6, 10, 14} and B={2, 5, 14, 16}
(ii) A = {a, b, c, e, u} and B={a, e, i, o, u}
(iii) A = {x : x ∈N, x ≤ 10} and B={x : x ∈W, x 6}
(iv) A = Set of all letters in the word “mathematics” and
B = Set of all letters in the word “geometry
3. If U={a, b, c, d, e, f, g, h}, A={b, d, f, h} and B={a, d, e, h}, find the following sets.
(i) A′ (ii) B′ (iii) A′∪B′ (iv) A′∩B′ (v) (A∪B)′
(vi) (A∩B)′ (vii) (A′)′ (viii) (B′)′
4. Let U={0, 1, 2, 3, 4, 5, 6, 7}, A={1, 3, 5, 7} and B={0, 2, 3, 5, 7}, find the following sets.
(i) A′ (ii) B′ (iii) A′∪B′ (iv)A′∩B′ ( v)(A∪B)′
(vi) (A∩B)′ (vii) (A′)′ (viii) (B′)′
5. Find the symmetric difference between the following sets.
(i) P = {2, 3, 5, 7, 11} and Q={1, 3, 5, 11}
(ii) R = {l, m, n, o, p} and S = {j, l, n, q}
(iii) X = {5, 6, 7} and Y={5, 7, 9, 10
7. Let A and B be two overlapping sets and the universal set be U. Draw appropriate Venn
diagram for each of the following,
(i) A∪B (ii) A∩B (iii) (A∩B)′ (iv) (B–A)′ (v) A′∪B′ (vi) A′∩B′
(vii) What do you observe from the Venn diagram (iii) and (v)?