Question

5. State whether the following pairs of sets are equivalent or not. a. A=*:335 and 3 € N) and B= {0, 1, 2, 3, 4) b. A=5+3 is a letter of the word BHOPAL, and B = {6,5, 1, 2, 3, 4)​

Answer 1

Step-by-step explanation:

{b, h, o, p, a, 1}

(ii) {e, a}

(iii) {h, o, n, g, k}

Answer 2

Answer:

$(i) \: A={1,2,3,4}$

$B= {x:x \: is \: a \: natural \: number \: and \: 4≤x≤6}={4,5,6}$

$Now, \: A∩B \: = \: {1,2,3,4}∩{4,5,6}={4}$

$\therefore \: this \: pair \: of \: sets \\ are \: not \: disjoint.$

$ii) A={a,e,i,o,u}$

$B={c,d,e,f}$

$A∩B={e}$

$\therefore \: this \: pair \: of \: sets \\ are \: not \: disjoint.$

$iii) A={x:x \: is \: an \: even \: integer}$

$B={x:x \: is \: an \: odd \: integer \: }$

$A∩B=ϕ$

$\therefore \: this \: pair \: of \: sets \\ is \: disjoint.$