1. Section 7-5: Linear Inequalities
Objectives: (1) To describe inequalities using variables and graphs.
(2) To generalize and analyze real-world problems using words and symbols

2. Inequality Reminders Greater than > Less than < Not equal to ≠
Greater than and equal to >
Less than and equal to <

3. Coordinate Plane x < 1
Comparisons
Number Line x < 1
Coordinate Plane x < 1 1

4. Graphing Linear Inequalies
Like number lines, if the inequality is < or > you must use a circle
The line is drawn as a dotted line
If it is < or >, you may use a dot and a solid line.
Shade in the region that satisfies the inequality

5. Graph:
y < 3x – 2
1st: notice that this is less than and not equal
Circle the y-intercept
Circle where the next point goes
Draw a dotted line through the two circles
Shade in the area LESS THAN

6. Graph:
y > - ½ x + 3
1st: notice that this is greater than AND equal
Find the y-intercept
Find where the next point goes
Draw a SOLID line through the two circles
Shade in the area GREATER THAN