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If X ∪ {3, 4} = {1, 2, 3, 4, 5, 6}  the which of the following is true

(a) Smallest set X = {1, 2, 5, 6}

(b) Smallest set X = {1, 2, 3, 5, 6}

(c) Smallest set X = {1, 2, 3, 4}

(d) Greatest set X = {1, 2, 3, 4}
in SETS, RELATIONS AND FUNCTIONS by Expert (11.5k points) | 12 views

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(a) Smallest set X = {1, 2, 5, 6}

EXplaination:
X ∪ {3, 4} = {1, 2, 3, 4, 5, 6}
Then the Smallest set of X will be X ∪ {3, 4} – {3, 4} i.e. {1, 2, 3, 4, 5, 6} – {3, 4} = {1, 2, 5, 6}.

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