Mathematics
Write each of the following sets in Roster form :
(i) A = set of all prime numbers between 70 and 100.
(ii) B = set of all whole numbers less than 8.
(iii) C = set of all integers lying between -7 and 2.
(iv) D = set of all composite numbers between 23 and 33.
(v) E = set of letters in the word, 'MATHEMATICS'.
(vi) F = set of consonants in the word, 'SECONDARY'.
(vii) G = set of vowels in the word, 'INTERMEDIATE'.
Sets
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Answer
(i) A = set of all prime numbers between 70 and 100.
Prime numbers are numbers that have only two factors: 1 and the number itself.
∴ A = {71, 73, 79, 83, 89, 97}
(ii) B = set of all whole numbers less than 8.
Whole numbers start from 0.
∴ B = {0, 1, 2, 3, 4, 5, 6, 7}
(iii) C = set of all integers lying between -7 and 2.
"Between" means we do not include -7 or 2.
∴ C = {-6, -5, -4, -3, -2, -1, 0, 1}
(iv) D = set of all composite numbers between 23 and 33.
Composite numbers have more than two factors.
∴ D = {24, 25, 26, 27, 28, 30, 32}
(v) E = set of letters in the word, 'MATHEMATICS'.
We list each unique letter once, even if it appears multiple times in the word.
∴ E = {M, A, T, H, E, I, C, S}
(vi) F = set of consonants in the word, 'SECONDARY'.
Consonants are letters that are not vowels (a, e, i, o, u).
∴ F = {S, C, N, D, R, Y}
(vii) G = set of vowels in the word, 'INTERMEDIATE'.
Vowels are a, e, i, o, u. We list each unique vowel once.
∴ G = {I, E, A}
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