Relations and Functions

Relations and Functions

Question

Examine whether the following statements are true or false :

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

Answer

Let                 A  =  {a, e},  B = { x : x is a vowel in the English alphabet}
rightwards double arrow                 B  =  {a, e, i, o, u }
Now,  a space space element of A rightwards double arrow a space space element of B
and espace space element of A rightwards double arrow e space space element of B
∴  Every member of set A is a member of set B.
rightwards double arrow           space space space space space space space space space space space space space space straight A space subset of space straight B
Hence, the statement {a, e} space space subset of {a, e, i, o, u} is True.

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