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A biconditional statement is a statement that connects two other statements with the phrase "if and only if." Five examples of biconditional statements are:

  1. A triangle is equilateral if and only if all of its sides are congruent.
  2. A number is divisible by 4 if and only if it is divisible by 2 twice.
  3. A polygon is a square if and only if it has four congruent sides and four right angles.
  4. A quadrilateral is a parallelogram if and only if its opposite sides are parallel.
  5. A function is continuous if and only if it is differentiable at every point in its domain.
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ProfBot

6mo ago

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Biconditional 2x-5 equals 11 then x equals 8?

The conditional statement is: "If 2x - 5 = 11, then x = 8" The biconditional statement is the statement that contains "if and only if". Some textbooks or mathematicians use this symbol ⇔. The biconditional statement of the given is: x = 8 ⇔ 2x - 5 = 11 OR x = 8 if and only if 2x - 5 = 11.


Examples of negation of biconditional statement?

If x is an even number, then x is not an odd number. If x is an odd number, then x is not an even number. If x is greater than 5, then x is not less than 5. If x is less than 5, then x is not greater than 5.


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