State whether the following sets into empty, finite and infinite sets. In case of (non-empty) finite sets, mention the cardinal number.
(i) {all colours of a rainbow}
(ii) {x | x is a prime number between 7 and 11}
(iii) {multiples of 5}
(iv) {all straight lines drawn in a plane}
(v) {x | x is a digit in the numeral 550131527}
(vi) {x | x is a letter in the word ‘SUFFICIENT’}
(vii) {x | x is a vowel in the word MATHEMATICS}
(viii) {x : x is an even whole number and x ≤ 20}
(ix) {x : x ϵ I and -2 ≤ x ≤ 5}
(x) {x : x is a prime number less than 25}
(xi) {x : x is a prime factor of 180}.
(xii) {x : x ϵ N and x is a composite number < 12}
Solution:
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