Question

Given $A=\{2,3\},B=\{4,5\},C=\{5,6\},$ find $A\times (B\cap C)=.........$

• A. $A\times (B\cap C)=\{(2,4),(3,5)\}$
• B. $A\times (B\cap C)=\{(2,5),(3,5)\}$
• C. $A\times (B\cap C)=\{(2,5),(4,5)\}$
• D. $A\times (B\cap C)=\{(2,3),(3,5)\}$

Answer 1

The correct option is B $A\times (B\cap C)=\{(2,5),(3,5)\}$

$A=\{2,3\},B=\{4,5\},C=\{5,6\}$
$B\cap C=\left\{5\right\}$
Now, $A\times (B\cap C)=\{(2,5),(3,5)\}$
Hence, option B.