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,

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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  1. 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}

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