1. Is 3 a solution for the inequality x – 2 < 6?
Lesson 2.1
Objective: To write and graph inequalities on a number line
Vocabulary:
Inequality is a statement that has an inequality symbol (>, <, >, <)
Checking solutions
Is 3 a solution for the inequality x – 2 < 6?
Substitute 3 in for x
3 – 2 < 6
1 < 6 True

2. Decide if x – 6 > 8 when x = 13
Substitute 13 for x
13 – 6 > 8
7 > False not a solution
Decide if x + 2x < when x = 9
Substitute 9 for both x’s
9 + 2(9) < 30
< 30
27 < 30 yes so 9 is a solution

3. Graphing Inequalities
<
>
Means less than, under, fewer than.
Uses an open circle when graphing
Means greater than, more than, exceeds, higher.
Uses an open circle when graphing
Means less than or equal to, no more than, at most
Uses a closed circle when graphing
Means greater than or equal to, at least, no less than
Uses a closed circle when graphing

4. VOCABULARY
The graph of a linear inequality in one variable is the set of points on a number line that represent all solutions of the inequality.
Verbal Phrase
Inequality
Graph
All real numbers less than 3
All real numbers greater than –2
All real numbers less than or equal to 0
All real numbers greater than or equal to 2

5. On your own Graph each inequality on a number line. 1) x < 10