## conditional statement

### A conditional statement is a type of mathematical statement that uses “if” and “then” to relate two different events or conditions

A conditional statement is a type of mathematical statement that uses “if” and “then” to relate two different events or conditions. It represents a relationship between a hypothesis (the “if” part) and a conclusion (the “then” part). The conditional statement is often written in the form “If p, then q”, where “p” represents the hypothesis and “q” represents the conclusion.

For example, let’s consider the statement “If it is raining, then the ground is wet.” In this case, the hypothesis is “it is raining” and the conclusion is “the ground is wet.” We can see that this statement implies that if it is raining, then the ground will definitely be wet.

It is important to understand that the conditional statement does not guarantee that the hypothesis is true or that the conclusion will be true. It only establishes a logical connection between the two events. So, if the hypothesis is true, the conclusion is also true, but if the hypothesis is false, the truth value of the conclusion cannot be determined solely based on the conditional statement.

Conditional statements are often used in mathematics and logic to define implications and relationships between different mathematical objects. They are also commonly used in proofs and problem-solving to establish logical reasoning and draw conclusions based on given conditions.

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