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Relations and Functions Test - 8

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Relations and Functions Test - 8
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    If A = [a, b], B = [c,d], C = [d, e] then {(a, c), (a, d), (a,e), (b,c), (b, d), (b, e)} is equal to

    Solution

    A × (B ∪ C) = (A × B)∪ A × C

    = {a,b} × {c,d} ∪ {a,b} × {d,c}

    ={(a,c),(a,d),(b,c),(b,d)} ∪ {(a,d),(a,c),(b,d),(b,c)}

    ={(a,c),(a,d),(a,c),(b,c),(b,d),(b,e)}

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