Math Review: Section 1.1 - 1.3

Natural Numbers

Every full number besides 0.

Whole Numbers

Natural numbers including 0.

Integers

Whole numbers and their negatives

Rational Numbers

Numbers that can be written as a fraction

Irrational Numbers

Numbers that cannot be written as a simple fraction; their decimal expansions are non-repeating and non-terminating.

Real Numbers

All numbers

(u + v) (u - v)

u² - v².

(u - v)²

u² - 2uv + v²

(u + v)²

u² + 2uv + v²

(u + v)³

u³ + 3u²v + 3uv² + v³

(u - v)³

u³ - 3u²v + 3uv² - v³

(x + y + z) (x + y - z)

(x + y)² - z²

x > 5 (In both interval & set-builder notation)

{ x | x > 5 } & (5, ∞)

x < 5 (In both interval & set-builder notation)

{ x | x < 5 } & (-∞, 5)

x ≥ 5 (In both interval & set-builder notation)

{ x | x ≥ 5 } & [5, ∞)

x ≤ 5 (In both interval & set-builder notation)

{ x | x ≤ 5 } & (-∞, 5]

1. Answer for 40>12

2. Answer for 3>4

All Real #’s & True Statement

Ø & False Statement

When is the u symbol used?

or statements 

What letter is Rational

What letter is Real

What letter is Irritational

What letter is Integer

What letter is Whole

What letter is Natural

Q,R,I,Z,W,N

When or statement turns into and statement

All real numbers

When and statement turns into or statement

No solution

When it surpasses both on an and statement

When it surpasses both on an or statement

larger number

smaller number

|3x + 5| = 4x + 2. How many separate questions are there?

2

A³ + B³

A³ - B³

(A + B)(A^2 - AB + B^2)

(A - B)(A^2 + AB + B^2)

Sign for all real numbers

(-∞,∞)