Question

Let U = {1, 2, 3, 4, 5, 6, 7}, A = {2, 4, 6}, B = {3, 5} and C = {1, 2, 4, 7}, find
(i) A′ ∪ (B ∩ C′)
(ii) (B – A) ∪ (A – C)
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Answer 1

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$\Large\fbox{\color{purple}{QUESTION}}$

Let U = {1, 2, 3, 4, 5, 6, 7}, A = {2, 4, 6}, B = {3, 5} and C = {1, 2, 4, 7}, find

(i) A′ ∪ (B ∩ C′)

(ii) (B – A) ∪ (A – C)

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$\bf\Huge\red{\mid{\overline{\underline{ ANSWER }}}\mid }$

➡️Given,

➡️U = {1, 2, 3, 4, 5, 6, 7}, A = {2, 4, 6}, B = {3, 5} and C = {1, 2, 4, 7}

✴➡️(i) A′ = {1, 3, 5, 7}

➡️C′ = {3, 5, 6}

➡️B ∩ C′ = {3, 5}

➡️A′ ∪ (B ∩ C′) = {1, 3, 5, 7}

✴➡️(ii) B – A = {3, 5}

➡️A – C = {6}

➡️(B – A) ∪ (A – C) = {3, 5, 6}

$\Large\mathcal\green{FOLLOW \: ME}$

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Answer 2

Answer:

➡️Given,

➡️U = {1, 2, 3, 4, 5, 6, 7}, A = {2, 4, 6}, B = {3, 5} and C = {1, 2, 4, 7}

✴➡️(i) A′ = {1, 3, 5, 7}

➡️C′ = {3, 5, 6}

➡️B ∩ C′ = {3, 5}

➡️A′ ∪ (B ∩ C′) = {1, 3, 5, 7}✔✔

✴➡️(ii) B – A = {3, 5}

➡️A – C = {6}

➡️(B – A) ∪ (A – C) = {3, 5, 6}✔✔

Step-by-step explanation:

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