Question

1. If A = {a, b, c, d, e, and B = {b, d, e, f, find
(i) AUB (ii) AB
​

Answer 1

Answer:

i)AUB={a,b,c,d,e,f}

ii)AB={(a,b),(a,d),(a,e),(a,f),(b,b),(b,d),(b,e),(b,f),(c,b),(c,d),(c,e),(c,f),(d,b),(d,d),(d,e),(d,f),(e,b),(e,d),(e,e),(e,f)}

Answer 2

Answer:

(i) A U B = {a, b, c, d, e, f}

(ii) AB or A×B = { (a, b), (a, d), (a, e), (a, f)

(b, b), (b, d), (b, e), b, f)

(c, b), (c, d), (c, e), (c, f)

(d, b), (d, d), (d, e), (d, f)

(e, b), (e, d), (e, e), (e, f) }

Step-by-step explanation:

A U B = {a, b, c, d, e} U {b, d, e, f} = {a, b, c, d, e, f}

A × B ( pronounced as A cross B) has an ordered pair of each element of A with each element of B

= { (a, b), (a, d), (a, e), (a, f)

(b, b), (b, d), (b, e), b, f)

(c, b), (c, d), (c, e), (c, f)

(d, b), (d, d), (d, e), (d, f)

(e, b), (e, d), (e, e), (e, f) }