# Q.2 Examine whether the following statements are true or false:(i) { a, b } $\not\subset$ { b, c, a }(ii) { a, e } $\subset$ { x : x is a vowel in the English alphabet}(iii) { 1, 2, 3 } $\subset$ { 1, 3, 5 }(iv) { a } $\subset$ { a, b, c }(v) { a } $\in$ { a, b, c }(vi) { x : x is an even natural number less than 6}  $\subset$  { x : x is a natural number which divides 36}

(i) All elements of { a, b } lie in  { b, c, a }.So,{ a, b } $\subset${ b, c, a }.

Hence,it is false.

(ii) All elements of { a, e } lie in {a,e,i,o,u}.

Hence,the statements given is true.

(iii) All elements of { 1, 2, 3 } are not present in { 1, 3, 5 }.

Hence,statement given is false.

(iv) Element of { a } lie in { a, b, c }.

Hence,the statement is true.

(v). { a } $\subset$ { a, b, c }

So,the statement is false.

(vi) All elements {2,4,} lies in {1,2,3,4,6,9,12,18,36}.

Hence,the statement is true.

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