If A = { a,,b} ,,B = { c,,d} ,,C = { d,,e} ,, then { (a,,c),,(a,,d),,(a,,e),,(b,,c),,(b,,d),,(b,,e)}

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2.Relations and Functions

easy

If $A = \{ a,\,b\} ,\,B = \{ c,\,d\} ,\,C = \{ d,\,e\} ,\,$ then $\{ (a,\,c),\,(a,\,d),\,(a,\,e),\,(b,\,c),\,(b,\,d),\,(b,\,e)\} $ is equal to

A

$A \cap (B \cup C)$

B

$A \cup (B \cap C)$

C

$A × (B \cup C)$

D

$A × (B \cap C)$

Solution

(c) $B \cup C = \{c, d\} \cup \{d, e\} = \{c, d, e\}$

$\therefore A × (B \cup C) = {a, b} × {c, d, e}$

$= {(a, c), (a, d), (a, e), (b, c), (b, d), (b, e)}.$

Standard 11

Mathematics

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