1. − −2 − −4 >5
2+4>5
𝑇𝑅𝑈𝐸
YES!
5 − ≥8
−10+24≥8
𝑇𝑅𝑈𝐸
YES!
−7 − <12
21+16<12
𝐹𝐴𝐿𝑆𝐸
NO!

2. DASHED ABOVE SOLID ABOVE DASHED BELOW SOLID BELOW
To graph a linear inequality, we need to know the slope and y-intercept. If the inequality does not have y by itself, you need to rewrite it.
The rules for graphing inequalities are as follows (once y is by itself!):
If your inequality has a >, you will draw a ___________ line and shade _____________.
If your inequality has a ≥, you will draw a ___________ line and shade _____________.
If your inequality has a <, you will draw a ___________ line and shade _____________.
If your inequality has a ≤, you will draw a ___________ line and shade _____________.
DASHED
ABOVE
SOLID
ABOVE
DASHED
BELOW
SOLID
BELOW

3. Vertical line!
𝒚<−𝒙+𝟓

4. 𝒚≤𝟐𝒙−𝟐
Horizontal line!

5. Try these at your group!

6. 𝒚≤ 𝟑 𝟒 𝒙+𝟑
𝒚< 𝟓 𝟐 𝒙+𝟓

7. Solutions for a system of inequalities must make BOTH inequalities true.
Is (−3, −1) a solution to 𝑦>2𝑥−5 3𝑥−4𝑦≤9
Check the first one:
−1>2 −3 −5
−1> −6 −5
−1> −11
𝑡𝑟𝑢𝑒!
Check the second one:
3 −3 −4 −1 ≤9
−9+4≤9
−5≤9
𝑡𝑟𝑢𝑒!

9. 𝒚≤− 𝟏 𝟐 𝒙+𝟐

10. Try the next 3 problems at your group!

11. 𝒚≤− 𝟏 𝟑 𝒙+𝟑

13. Graphing Inequalities Practice
PICK ONE FROM EACH SECTION: SECTION 1 SECTION 2 SECTION 3 #1, 5, 9 #3, 4, 6, 11, #2, 7, 8, 10, 12, 14, 15 13, 16