Notes
Graphing Linear Inequalities
Seemingly Random Review!
1
1) Graph 𝑦 = − 𝑥 − 2.
2
2) Graph −3𝑥 + 4𝑦 = −12.
BIG IDEA #1: A linear inequality uses TWO variables, ____ and ____, and solutions to a
linear inequality are the set of ALL points that can be plugged in and give statements that are
________.
BIG IDEA #2: We will find the solutions to a linear inequality by graphing it on a coordinate
plane. This is exactly the same as graphing a linear ________________, except we use:
**A solid line for ____ or ____
**A dotted line for ____ or ____
IMPORTANT: We will also shade in one side of the coordinate plane. We will determine
which side to shade in by plugging in a point from the coordinate plane, usually _________.
*True = shade in the _______ side
Example 1 : 𝑦 ≤ −3𝑥 + 1
*False = shade in the _______________ side
Example 2 :
𝑦>4
BIG IDEA #3 : A solution to the linear inequality is any _______________________, (𝑥, 𝑦),
from the shaded region of the graph. If a problem asks for a solution, write down ANY
ordered pair in the area you shaded in!
You try! - Graph each linear inequality and name ONE possible solution.
1)
2)
Solution:___________
3)
Solution:___________
4)
Solution:___________
Solution:___________
5) 𝑥 ≤ −3
Solution:____________