Given sets X, Y, Z, and U, find the set Xn(X – Y) using the listing method.
X = {d, c, f, a}
Y = {d, e, c}
Z ={e, c, b, f, g}
U = {a, b, c, d, e, f, g}

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Answer:

{f, a}

Step-by-step explanation:

Given the sets:

X = {d, c, f, a}

Y = {d, e, c}

Z ={e, c, b, f, g}

U = {a, b, c, d, e, f, g}

To obtain the set X n (X – Y)

We first obtain :

(X – Y) :

The elements in X that are not in Y

(X – Y) = {f, a}

X n (X – Y) :

X = {d, c, f, a} intersection

(X – Y) = {f, a}

X n (X – Y) = elements in X and (X – Y)

X n (X – Y) = {f, a}