INEQUALITIES

August 19 and 23, 2010

Opener

1. Give an example: {Negative numbers} is NOT closed under multiplication.

2. Solve: x2 = 3243. State the domain and range of the

function :

Section 1.6 - Inequalities

< less than

> greater than

open dot

≤ less than or equal to

≥ greater than or equal to

closed dot

Examples: Assume the domain is all real numbers

4x-7 > 1

Examples

3x-5 < 2

Examples

x-4 > -1 or x-4 ≤ -6

Examples

4-3x > -2

Examples

3 ≤ x+4 < 5

Examples

|x| > 3

Examples

|x-1| < 4

Examples

|3x+7|≥ 7

Exit Slip

1. 5 – 3x ≥ -4

2. 4 – 3x < -2

3. |5x – 3| > 22

4. |x + 3| > -6