Question

1. If P = {1, 2, 3} Q = {2, 3, 4} R = {3, 4, 5} S = {4, 5, 6}, find
(a) P ∪ Q
(b) P ∪ R
(c) Q ∪ R
(d) Q ∪ S
(e) P ∩ Q
(f) P ∩ R
(g) Q ∩ R
(h) Q ∩ S

2. 2. If A = {a, b, c, d} B = {b, c, d, e} C = {c, d, e, f} D = {d, e, f, g}, find
(a) A - B
(b) B - C
(c) C - D
(d) D - A
(e) B - A
(f) C - B

3. Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
A = {1, 2, 4, 6, 8, 10}
B = {1, 3, 5, 7, 8, 9}
Find:
(a) A'
(b) B'
(c) A' ∪ B'
(d) A' ∩ B'
(e) (A ∪ B)'

Answer 1

Answer:

1. If P = {1, 2, 3} Q = {2, 3, 4} R = {3, 4, 5} S = {4, 5, 6}, find

(a) P ∪ Q

(b) P ∪ R

(c) Q ∪ R

(d) Q ∪ S

(e) P ∩ Q

(f) P ∩ R

(g) Q ∩ R

(h) Q ∩ S

2. 2. If A = {a, b, c, d} B = {b, c, d, e} C = {c, d, e, f} D = {d, e, f, g}, find

(a) A - B

(b) B - C

(c) C - D

(d) D - A

(e) B - A

(f) C - B

Answer 2

Step-by-step explanation:

1.(a) P ∪ Q={1,2,3,4}

(b) P ∪ R={1,2,3,4,5}

(c) Q ∪ R={2,3,4,5}

(d) Q ∪ S={2,3,4,5,6}

(e) P ∩ Q={2,3}

(f) P ∩ R={3}

(g) Q ∩ R={3,4}

(h) Q ∩ S={4}

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