Question

6. Let U = (1, 2, 3, 4, 5, 6, 7), A = {1, 2, 3, 4) and B = {4, 5, 6, 7).
Find : (1) AUB' (1) A'UB (iii) An B' (iv) A'n B​

Answer 1

Answer:

I. AUB'={1,2,3,4}

II. A'UB={4,5,6,7}

III. AnB'= {1,2,3}

IV. A'nB={4,5,6}

Step-by-step explanation:

I. A U B'

B'= {1,2,3}

A U B'= {1,2,3} U {1,2,3,4}

={1,2,3,4}

II. A' U B

A'={5,6,7}

A' U B= {4,5,6} U {4,5,6,7}

III. A n B"

B'= {1,2,3}

A n B'= {1,2,3,4} n {1,2,3}

IV. A' n B

A'={5,6,7}

A' n B= {5,6,7} n {4,5,6,7}

Hope it helps, study well;)