Fewpal
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Examine whether the following statements are true or false: 

(i) {a, b} ⊄ {b, c, a} 

(ii) {a, e} ⊂ {x:x is a vowel in the English alphabet} 

(iii) {1, 2, 3} ⊂ {1, 3, 5} (iv) {a} ⊂ {a, b, c} 

(v) {a} ∈ {a, b, c} 

(vi) {x: x is an even natural number less than 6} ⊂ {x : x is a natural number which divides 36}.

1 Answer

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(i) False ∵ a, b ∈ {b, c, a} 

(ii) True ∵ a, e ∈ {a, e, i, o, u} 

(iii) False ∵ 2 ∉ {1, 3, 5} 

(iv) True ∵ a ∈ {a, b, c} 

(v) False ∵ {a} is a set but not in [a, b,c} 

(vi) True ∵ {2, 4} ⊂ {1, 2, 3, 4, 6, 9,12,18, 36}

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