<img src="https://d5nxst8fruw4z.cloudfront.net/atrk.gif?account=iA1Pi1a8Dy00ym" style="display:none" height="1" width="1" alt="" />

# 7.8: Induction and Inequalities

Difficulty Level: At Grade Created by: CK-12

### Notes/Highlights Having trouble? Report an issue.

Color Highlighted Text Notes

### Vocabulary Language: English

!

The factorial of a whole number $n$ is the product of the positive integers from 1 to $n$. The symbol "!" denotes factorial. $n! = 1 \cdot 2 \cdot 3 \cdot 4...\cdot (n-1) \cdot n$.

factorial

The factorial of a whole number $n$ is the product of the positive integers from 1 to $n$. The symbol "!" denotes factorial. $n! = 1 \cdot 2 \cdot 3 \cdot 4...\cdot (n-1) \cdot n$.

induction

Induction is a method of mathematical proof typically used to establish that a given statement is true for all positive integers.

inequality

An inequality is a mathematical statement that relates expressions that are not necessarily equal by using an inequality symbol. The inequality symbols are $<$, $>$, $\le$, $\ge$ and $\ne$.

Integer

The integers consist of all natural numbers, their opposites, and zero. Integers are numbers in the list ..., -3, -2, -1, 0, 1, 2, 3...

postulate

A postulate is a statement that is accepted as true without proof.

proof

A proof is a series of true statements leading to the acceptance of truth of a more complex statement.

Show Hide Details
Description
Difficulty Level:
Tags:
Subjects:

Date Created:
Nov 01, 2012
Mar 23, 2016

# We need you!

At the moment, we do not have exercises for Induction and Inequalities.