Answer: The converse of the given statement is if [tex]x^2=9[/tex] ,then x=3.→ which is not true.
We cannot form a biconditional statement for the given statement because the converse is not true.
Step-by-step explanation:
Given statement: If x = 3, then [tex]x^2=9[/tex]
The converse statement of conditional statement that "if p then q" is "if q then p".
therefore, the converse of the given statement is if [tex]x^2=9[/tex] ,then x=3.
But the converse is not true since if [tex]x^2=9[/tex] then x can be 3 or -3 .
∵ [tex]3^2=9[/tex] and [tex](-3)^2=9[/tex]
A biconditional statement is true if and only if both the conditional statement and its converse are true.
Therefore, we cannot form a biconditional statement for the given statement because the converse is not true.
