Question

If X= {a, b, c, d} and Y= { f, b, d, g}, find $X \cap Y$

Answer 1

A intersection B is the set of all distinct elements or objects that are in both A and B.it is denoted by $A\cap B$. in figure, shaded region indicates $A\cap B$.

here, X = {a, b, c, d} and Y = {f, b, d, g}
So, $X\cap Y$ ={a, b, c, d} $\cap${f, b, d, g}
= {b, d}

Answer 2

Solution :

Given X = { a , b , c , d }

Y = { f , b , d , g }

X cap Y = { x: x € X and x € Y }

= { a , b , c , d } cap { f , b , d , g }

= { b , d }

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