Mathematics
If V = {vowels in English alphabet}, write which of the following statements are true and which are false:
(i) c ∈ V
(ii) {a} ∈ V
(iii) a, e, i ∈ V
(iv) a, b ∈ V
(v) {a, u} ∉ V
(vi) {a, o, u} ∈ V
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Answer
V = {vowels in English alphabet} = {a, e, i, o, u}
(i) False; as c is a consonant, so c ∉ V.
(ii) False; as {a} is a set and not a member of V.
(iii) True; as a, e and i are members of V.
(iv) False; as b is not a member of V i.e. b ∉ V. Of course, a ∈ V.
(v) True; as {a, u} is a set and therefore not a member of V.
(vi) False; as {a, o, u} is a set and not a member of V.
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