Relations and Functions

Relations and Functions

Question

Examine whether the following statements are true or false :

(iv)  { a }⊂ { a, b, c }

Answer

Let         A =    { a }
     
             B  =   { a, b, c }
Now,  space space space space space space space space space space space space space space space space space space space space space straight a space element of space straight A space rightwards double arrow space straight a space element of space straight B
rightwards double arrow   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 space space space space space space space straight A space subset of space straight B
Hence, the statement { a }⊂ { a, b, c } is True.

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