Writing+Inequalities

Inequalities are the opposite of equations. Equations show when two expressions are EQUAL. Inequalities show when two expressions are NOT EQUAL. If they are not equal, one expression is either //greater than// or //less than// the other expression.
 * What are inequalities?**

There are 4 different symbols that are used to write inequalities.
 * How do we write inequalities?**

1. **GREATER THAN** is represented by the symbol >

//Example:// 10 > 7 ("Ten is greater than 7")

2. **LESS THAN** is represented by the symbol <

//Example:// 10 < 12 ("Ten is less than 12")

3. **GREATER THAN OR EQUAL TO** is represented by the symbol __>__

//Example:// 8 __>__ 1 ("Eight is greater than or equal to 1") //Example:// 8 __>__ 8 ("Eight is greater than or equal to 8")

4 **LESS THAN OR EQUAL TO** is represented by the symbol __<__

//Example:// --2 __<__ 0 ("Negative 2 is less than or equal to 0") //Example:// --2 __<__ --2 ("Negative 2 is less than or equal to negative 2")

**TASK: What is the difference between the symbol < and the symbol** __**<**__ **?**

We can also use variable when we're writing inequalities. We can say at x > 4. This means that x can be any number higher than 4, such as 5, 6, 7, 8,... but it cannot be 4. If we said that x __>__ 4, x could be 4, 5, 6, 7, 8, ...

Anything that we can do with a regular (linear) equation, we can also do with an inequality. We can solve them like equations (which we'll talk about in the next lesson) and we can graph them like equations. In fact, there are two ways that we can graph them. We will talk about one way to graph them now and another way to graph them later on in Unit 3.
 * What can we do with inequalities? Why are they important?**

**TASK: Open the page below and watch the video on the first way to graph inequalities-**

http://www.phschool.com/atschool/academy123/english/academy123_content/wl-book-demo/ph-822s.html

**TASK: Answer the 5 questions below:**

1.

2. Write an inequality that represents the following statement: a number is less than 6

3. Write the following inequality out in words (What would you say if you were reading the inequality?): x __>__ 18

4. Write the following inequality out in words: 7 > n

5.