Selina Concise Class 7 Math Chapter 13 Set Concepts Exercise 13C Solution
EXERCISE 13C
(1) Fill in the blanks:
(i) If each element of set P is also an element of set Q, then P is said to be subset of Q and Q is said to be superset.
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Selina Concise Class 7 Math Chapter 13 Set Concepts Exercise 13C SolutionEXERCISE 13C(1) Fill in the blanks:(2) If A = {5, 7, 8, 9}, then which of the following are subsets of P?(3) If P = {2, 3, 4, 5}, then which of the following are proper subsets of P?(5) Given A = {a, c}, B = {p, q, r} and C = Set of digits used to form the number 1351. Write all the subsets of sets A, B and C.(7) For the universal set {4, 5, 6, 7, 8, 9, 10, 11, 12, 13}, find its subsets A, B, C and D such that:
(ii) Every set is a subset of itself.
(iii) The empty set is a subset of every set.
(iv) If A is proper subset of B, then n(A) is less than n(B).
(2) If A = {5, 7, 8, 9}, then which of the following are subsets of P?
Ans: (i), (iv) and (v)
(3) If P = {2, 3, 4, 5}, then which of the following are proper subsets of P?
Ans: (i) and (ii)
(4) If A = {even numbers less than 12}
B = {2, 4}, C = {1, 2, 3}, D = {2, 6} and E = {4}
(5) Given A = {a, c}, B = {p, q, r} and C = Set of digits used to form the number 1351. Write all the subsets of sets A, B and C.
Ans: Subsets of A are : { }, {a}, {c}, {a, c}
Subsets of B : { }, {p}, {q}, {r}, {p, q}, {p, r}, {q, r}, {p, q, r}
Subsets of C are : { }, {1}, {3}, {5}, {1, 3}, {3, 5}, {1, 5}, {1, 3, 5}
(6) (i) 8
(ii) 15
(iii) 2
(iv) 3
(7) For the universal set {4, 5, 6, 7, 8, 9, 10, 11, 12, 13}, find its subsets A, B, C and D such that:
(i) {4, 6, 8, 10, 12}
(ii) {9, 11, 13}
(iii) {5, 7, 11, 13}
(iv) {4, 6, 8}
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