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Match each of the set on the left in the...

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 natural number and divisor of 6}
(iv) {1, 3, 5, 7, 9} (d) {x : x is a letter of the word MATHEMATICS}.

Text Solution

AI Generated Solution

To match each of the sets on the left in roster form with the corresponding set on the right described in set builder form, we will analyze each set one by one. ### Step-by-step Solution: 1. **Identify the first set: `{1, 2, 3, 6}`** - We need to find a set builder form that matches this roster. - The elements are natural numbers that are divisors of 6. - Therefore, this set can be described as: ...
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Knowledge Check

  • Write the roster form of the set {x:x is a natural number less than 6} .

    A
    `{1,2,3}`
    B
    `{1,2,3,4}`
    C
    `{1,2,3,5}`
    D
    `{1,3,5}`
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