Which car cost under $20,000 with tax?
How can you determine the cost of driving 10,000 miles for a car?
Which cars costs less than $2,000 to drive 10,000 miles?
System of Linear Inequalities
Objective:
I can graph two-variable inequalities
Solving a System of Inequalities: by table
𝑥+𝑦 >4
3𝑥 + 7𝑦 ≤ 21
x
0
1
2
3
4
5
6
7
3𝑥 + 7𝑦 ≤ 21
y
0
1
2
0
1
2
0
1
2
0
1
0
1
0
0
0
3
Solving a System of Inequalities: by graphing
𝒚 < −𝟐𝒙 + 𝟑
𝟏
𝒚≥ 𝒙−𝟑
𝟐
1. Graph each individual inequality with shading
2. Solution is area shaded the same # of times as
inequalities.
1. [Y = ]
2. [◄], [◄], [enter] until
inequality is selected
> or ≥
< or ≤
4. [►], [►], Enter equation
5. Repeat for all inequalities
𝑥 + 2𝑦 ≤ 4
𝑦 ≥ −𝑥 − 1
A pizza parlor charges $1 for each vegetable
topping and $2 for each meat topping. You have
$10 to spend on toppings.
You want at least five toppings on your pizza.
How many of each type of topping can you get on
your pizza?
𝑣 + 2𝑚 ≤ 10
𝑣+𝑚 ≥5
Solving a Linear/Absolute-Value Inequality System
1
𝑦 <− 𝑥+2
3
𝑦 > 2|𝑥 − 1|
Pg. 153
#12-54 by 3s