Question

Which of the following is a biconditional statement?Question options:A) If x2 = 25, then x = 5 or x = –5B) x = 5 if x2 = 25C) If x ≠ 5 then x2 ≠ 25D) x = 5 if and only if x + 5 = 10

Answer 1

A biconditional statement is composed of two true statement.

in the form :

p "if and only if" q

where p and q are the true statements.

From the given choices, only option option corresponds with this format.

Choice D. x = 5 "if and only if" x + 5 = 10

But we need to check the truth about the statements

$\begin{gathered} x+5=10 \\ x=10-5 \\ x=5 \end{gathered}$

Since the statement is true. The answer is Choice D.