Question

Let X = {2, 4, 5, 6} Y = {3, 4, 7, 8} Z = {5, 6, 7, 8}

a) (X - Y) ∩ (Y - X)​
please help me

Answer 1

Answer:

Step-by-step explanation:

(X - Y)∩ (Y - X)​ =  ∅

Given,

X = {2 , 4 , 5 , 6}

Y = {3 , 4 , 7 , 8}

Z = {5 , 6 , 7 , 8}

To Find :-

(X - Y) ∩ (Y - X)​

Solution :-

(X - Y) = {2 , 4 , 5 , 6} - {3 , 4 , 7 , 8}

= {2 , 5 , 6}

(Y - X) =  {3 , 4 , 7 , 8} - {2 , 4 , 5 , 6}

= { 3 , 7 , 8}

(X - Y)∩ (Y - X)​ = {2 , 5 , 6} ∩ { 3 , 7 , 8}

Hence there is no common element So we can say :-

(X - Y)∩ (Y - X)​ =  ∅