# Deductive Reasoning

Find out the meaning of deductive reasoning: meaning, examples.

## What is it?

Deductive reasoning is a reasoning

that starts from given & known statements

to get a specific conclusion,

usually by using **logic**.

## Example 1

Starting from *p* → *q* and *q* → *r*,

you get *p* → *r* logically.

So using the law of syllogism is deductive reasoning.

Law of contrapositive and law of detachment

are also deductive reasoning you've learned before.

## Example 2

Starting from *x* + 2 = 3,

you write -2 on both sides: *x* + 2 - 2 = 3 - 2

(This is the logic part: reflexive property.)

then you get the conclusion: *x* = 1.

So solving equations is deductive reasoning.