Identify the condition and conclusion of the statement. Eliminate choices that don't satisfy the statement's condition. For the remaining choices, counterexamples are those where the statement's …

A counterexample is a single, specific example for which a given statement is untrue. This makes the given statement false.

A counterexample is an example in which the condition is true, but the conclusion is false. If you can find a counterexample to a conditional statement, then that conditional statement is false.

A conjecture is an “educated guess” that is based on examples in a pattern. A counterexample is an example that disproves a conjecture. Suppose you were given a mathematical pattern like h = 16 t 2. …

Feb 24, 2012 · Give a counterexample to this statement: Every prime number is an odd number. The only counterexample is the number 2: an even number (not odd) that is prime. Give a …

Using counterexamples to prove that a property or a theorem don't hold is sometimes easier that writing a complete proof. We will explore a couple of interactive examples below.

To make a counterexample in math, first, find an example that satisfies the conditions of the theorem. Then, demonstrate that the example proves the opposite of the conclusion of the theorem.

What is a Counterexample? It can be really tough to prove a conjecture to always be true, but it only takes one good counterexample to prove it false! Watch the tutorial to find out about counterexamples.

Illustrated definition of Counterexample: An example that disproves a statement (shows that it is false). Example: the statement all dogs are hairy...

Geometry: The statement “all triangles have three sides” is false because the counterexample of a degenerate triangle (a triangle with zero area) shows that not all triangles have three sides.