Question

State whether each of the following statements is true or false. If the statement is false rewrite the given statement correctly

If $A$and $B$ are non-empty sets then $A\times B$ is a non-empty set of ordered pairs $(x,y)$ such that $x\in A\mathrm{and}y\in B$

• A. True
• B. False

Answer 1

The correct option is A True

Explanation.

If $A$and $B$ are non-empty sets then $A\times B$ is a non-empty set of ordered pairs $(x,y)$ such that $x\in A$ and $y\in B$.

For example: If $A=\{a,b\}andB=\left\{c\right\}$. Then, $A\times B=\left\{\right(a,c),(b,c\left)\right\}$.

In ordered pair, $a,b\in A\mathrm{and}c\in B$

Hence, the given statement is true.