# Counterexample

See how to find the counterexample of the given statement.

2 examples and their solutions.

## Counterexample

### Definition

Counterexample

↓ False!

Statement

A counterexample is an example↓ False!

Statement

that makes a statement false.

Only one counterexample is needed

to show that the statement is false.

### Example

If x is a prime number,

then x is an odd number.

Counterexample?

Solution then x is an odd number.

Counterexample?

### Example

A triangle can be formed by three points.

Counterexample?

Solution Counterexample?

If three points are on a line,

a triangle cannot be formed.

∴ Three points on a line

a triangle cannot be formed.

∴ Three points on a line

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