Question

$A$ is the set of letters of the word $apple,$
$B$ is the set of letters of the word $pineapple,$
$C$ is the set of letters of the word $kiwi,$ then choose the correct statement.

• A. $A\cup B=\{p,i,n,e,a,p,p,l,e\}$
• B. $A\cup B=\{p,i,n,e,a,l\}$
• C. $A\cup C=\{a,p,p,l,e,k,i,w,i\}$
• D. $A\cup C=\{a,p,l,e,k,w,i\}$

Answer 1

Answer: (B), (D)

$A\cup C=\{a,p,l,e,k,w,i\}$

$A$ is the set of letters of the word $apple.$
$\Rightarrow A=\{a,p,l,e\}$
$B$ is the set of letters of the word $pineapple.$
$\Rightarrow B=\{p,i,n,a,l,e\}$
$C$ is the set of letters of the word $kiwi.$
$\Rightarrow C=\{k,w,i\}$
Now, $A\cup B=\{a,p,l,e\}\cup \{p,i,n,a,l,e\}$
$\Rightarrow A\cup B=\{p,i,n,e,a,l\}$
Similarly, $A\cup C=\{a,p,l,e\}\cup \{k,w,i\}$
$\Rightarrow A\cup C=\{a,p,l,e,k,w,i\}$