Question

(6) Which set of numbers could be the universal set for the sets given below?
A set of multiples of 5. B - set of multiples of 7.
cset of multiples of 12
(u) P - set of integers which are multiples of 4.
T- set of all even square numbers.​

Answer 1

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Answer:

P and T

Step-by-step explanation:

iA = set of multiples of 5 ∴ A = {5, 10, 15, …}

B = set of multiples of 7 ∴ B = {7, 14, 21,…}

C = set of multiples of 12 ∴ C = {12, 24, 36, …} Now, set of natural numbers, whole numbers, integers, rational numbers are as follows: N = {1, 2, 3, …}, W = {0, 1, 2, 3, …} I = {…,-3, -2, -1, 0, 1, 2, 3, …} Q = {(p/q) | p,q ∈ I,q ≠ 0} Since, set A, B and C are the subsets of sets N, W , I and Q. ∴ For set A, B and C we can take any one of the set from N, W, I or Q as universal set. ii. P = set of integers which are multiples of 4. P = {4, 8, 12,…} T = set of all even square numbers T = {22, 42, 62, …} Since, set P and T are the subsets of sets N, W, I and Q. ∴ For set P and T we can take any one of the set from N, W, I or Q as universal set.-set-multiples-set-multiples

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