Download Name - Hewlett

Name
Math 7: Inequalities
Date
Unit 5 Lesson 1
What is an inequality?
Definition: An algebraic relation showing that a quantity is greater than or less
than another quantity. (answers.com)
An inequality is a mathematical sentence that contains the symbols below to show
the relationship between two quantities.
Symbols used:
<
>
<
>
= less than
= greater than
= less than or equal to
= greater than or equal to
Here is a question for you!
 How is an inequality different from an equation?
Read the inequality in the middle of the page. Then come up with at least five integer
solutions that would make the sentence true and five that would make the sentence false.
Write those integers in the columns provided.
Solutions make it true
Inequality
x>6
x<9
x ≥ -5
4x ≤ 32
Solutions make it false
1.
By looking at the solutions above what can you say about the amount of
solutions an inequality has?
2.
There are three ways you can show the solution to an inequality. List the
integer solution set, graph on a number line, and write as an algebraic
inequality.
Take x > -5 from above and draw a line above all the answers that make the
sentence true.
-6
-5
-4
-3
-2
-1
0
1
2
3
4
5
6
3. Can you think of any other numbers that can make the sentence true that
are not shaded in right now? If yes, what are they?
Today we are going to solve inequalities algebraically:
2x > 4
You follow the same procedure as you would for solving a one step equation.
2x > 4
2
2
Step 1: Get x by itself
X>2
Step 2: We now know that all x values GREATER than 2 will make the
inequality true.