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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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1mo ago
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9y ago

1. The candidate becomes president if and only if he wins the election.

2. The player wins a trophy if and only if he wins the game.

3. Water falls from the sky if and only if it rains.

4. I'm breathing if and only if I'm alive.

5. You are permitted to vote if and only if you are registered.

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Q: Give 5 examples of biconditional statement?
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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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The area of a square is 25 square meters if and only if the side length of the square is 5 meters


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