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Question

$$\displaystyle \left \{ \left ( 1, 2 \right ) \right \}, and B=\left \{ 1, 3 \right \}, then\left ( A\times B \right )\cup \left ( B\times A \right )$$ $$\displaystyle =\left \{ \left ( 1, 3 \right ), \left ( 2, 3 \right ), \left ( 3, 1 \right ), \left ( 3, 2 \right ), \left ( 1, 1 \right ), \left ( 1, 2 \right ), \left ( 2, 1 \right ),\right \}$$


A
True
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B
False
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Solution

The correct option is A True
$$A=\left\{ 1,2 \right\} \\ B=\left\{ 1,3 \right\} \\ A\times B=\left\{ \left( 1,1 \right) ,\left( 1,3 \right) ,\left( 2,1 \right) ,\left( 2,3 \right)  \right\} \\ B\times A=\left\{ \left( 1,1 \right) ,\left( 1,2 \right) ,\left( 3,1 \right) ,\left( 3,2 \right)  \right\} \\ \therefore \left( A\times B \right) \cup \left( B\times A \right) =\left\{ \left( 1,1 \right) ,\left( 1,3 \right) ,\left( 1,2 \right) ,\left( 2,1 \right) ,\left( 2,3 \right) ,\left( 3,1 \right) \left( 3,2 \right)  \right\} $$

Mathematics

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