Chapter 1: Sets

Exercise

Question

Question: 6

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Match each of the set on the left in the roster form with the same set on the right described in set-builder form:

(i) {1, 2, 3, 6}
(a) {x : x is a prime number and a divisor of 6}
(ii) {2, 3}
(b) {x : x is an odd natural number less than 10}
(iii) {M, A, T, H, E, I, C, S}
(c) {x : x is a natural number and divisor of 6}
(iv) {1, 3, 5, 7, 9}
(d) {x : x is a letter of the word MATHEMATICS}

Answer

1
Find the prime of 6.
(a) $→$ {2, 3}
2
Find the odd numbers less than 10.
(b) $→$ {1, 3, 5, 7, 9}
3
Find the numbers that are divisors of 6.
(c) $→$ {1, 2, 3, 6}
4
Find all distinct letters of the word MATHEMATICS. Remember that repeated letters are written only once in a set.
(d) $→$ {M, A, T, H, E, I, C, S}
5
Use the results from the previous steps to match the sets on the left with the corresponding sets on the right.
Answer:
(i) $↔$ (c)
(ii) $↔$ (a)
(iii) $↔$ (d)
(iv) $↔$ (b)
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