This document provides instructions for graphing linear inequalities on a coordinate plane. It reviews graphing linear equalities and defines the four types of inequalities: less than, greater than, less than or equal to, and greater than or equal to. Examples of individual inequalities are given, such as y > 5 and x ≤ 3. The document explains that the solution to an inequality includes all points on or within the boundary line. It poses questions about graphing an inequality line, including identifying the y-intercept, slope, border, shading, solutions and non-solutions.

1. Algebra 1
Lesson 7.13
Graphing Linear Inequalities

2. Table Discussion
Graphing Inequalities
Graphing "equalities"

4. Review: Graphing Linear "Equalities"
HOY
Horizontal
Slope: "0"
y= ____
&
VUX
Vertical
slope: undefined
x = _______

5. Review: Graphing Linear "Equalities"
slope
y-intercept
y = mx + b
1x + 2
y=4

6. What does the... line mean?
1x + 2
y=4
all the points on the line are solutions

7. What are the 4 inequalities?
*Boundary line
Less than
Greater than
Less than
or equal to
Greater than
or equal to

8. Graphing Linear Inequalities
y>5
x < -6

9. Graphing Linear Inequalities
y ≥ -2
y<4
x≤3
x > -5

10. Review: Graphing Linear "Equalities"
=
1x+2
y>4

11. Review: Graphing Linear "Equalities"
=
3x - 2y ≤ -2

13. 2x + 5y = 10
2x + 5y = 10

14. 3x + y = -6
3x + y = -6

15. http://goo.gl/uKHOq

23. 1. Where does it cross the y-intercept?
2. What is the slope?
3. How does the boarder look like
4. Where do you shade?
5. What point is a solution?
6. What point is NOT a solution?