Answer: The correct option is
(A) Yes, because the statement and its converse are both true.
Step-by-step explanation: We are given the following conditional statement :
If 2x = 6, then x = 3.
We are to check if the above conditional statement can be written as a bi conditional statement with reason.
The converse of the given conditional statement is
If x = 3, then 2x = 6.
First let us consider that 2x = 6. Then, we get
\(2x=6\\\\\Rightarrow x=\dfrac{6}{2}\\\\\Rightarrow x=3.\)
Conversely, let x = 3, then we get
\(2x=2\times3=6.\)
So, both the statement and its converse are TRUE.
Therefore, the statement can be written as a bi conditional statement as follows :
2x = 6 if and only if x = 3.
The answer is YES, because the statement and its converse are both true.
Thus, (A) is the correct option.
