1. DataWORKS Educational Research
Algebra (5Q)
Students solve a system of two linear equations in two variables
algebraically and are able to interpret the answer graphically. Students are
able to solve a system of two linear inequalities in two variables and sketch
the solution sets.
Lesson to be used by EDI-trained teachers only.
DataWORKS Educational Research
(800) •
©2011 All rights reserved.
Comments?

2. Inequality Symbols and Meanings:
Learning Objective
Today, we will solve systems of linear inequalities by graphing.
What are we going to do today?
≤ and ≥
< and >
Inequality Symbols and Meanings:
Activate (or provide) Prior Knowledge
A linear inequality compares expressions with an inequality symbol and contains numbers and variables raised to the first power only.
y = mx + b
Slope-intercept form
slope
y-intercept
Determine the slope and y-intercept of the inequalities.
y < x + 2
y ≤ -x + 2 1. 2.
Slope (m): 1
Slope(m): -1
y- intercept(b): 2
y- intercept(b): 2
Graph the ordered pair to verify whether it is a solution to the inequality.
y < x + 2 3.
y ≤ -x + 2 4.
(-2,5)
(0,0)
y < x + 2
y ≤ -x + 2
(5) < (-2) + 2
(0) ≤ -(0) + 2
5 <
False
0 ≤ 0 + 2
5 < 0
True
0 ≤ 2
Students, you already know how to determine the slope and y-intercept of a linear inequality and verify whether an ordered pair is a solution to a linear inequality. Today, we are going to graph linear inequalities using the slope and y-intercept to and verify ordered pairs in order to solve systems of linear inequalities.

4. Inequality Symbols and Meanings:

5. Inequality Symbols and Meanings:
Algebra (5Q)
Students solve a system of two linear equations in two variables
algebraically and are able to interpret the answer graphically. Students are
able to solve a system of two linear inequalities in two variables and sketch
the solution sets.
Lesson to be used by EDI-trained teachers only.
DataWORKS Educational Research
(800) •
©2011 All rights reserved.
Comments?

6. Inequality Symbols and Meanings:

8. 1. In your own words, how do you graph a linear inequalities?
2. What did you learn today about graphing linear inequalities? Why is that important to you?