1. Warm-Up #8
Solve for y:
2y – x = 4
5 – y = 6x
y – 2x = 6

2. Homework 𝑦<2𝑥+3 2𝑦>𝑥−8 𝑦−3≤4𝑥−5 4𝑥≥𝑦−1
4 inequalities with Two Variables problems
𝑦<2𝑥+3
2𝑦>𝑥−8
𝑦−3≤4𝑥−5
4𝑥≥𝑦−1

3. Lesson 4.12 Inequalities With Two Variables

4. Solving Linear Inequalities
To graph an inequalities equation, put it into Slope-Intercept Form, y = mx + b

5. Graph the line using the y-intercept & slope.
If the inequality is < or >, make the lines dotted.
If the inequality is < or >, make the lines solid.

6. Example 3x + 4y > - 4 THINK: Dotted line or Solid line?
Put in Slope-Intercept Form: y = mx+b
THINK:
Dotted line or Solid line?

7. EXAMPLE 1
Graph y≥ 3 2 𝑥+1

8. EXAMPLE 2
Graph −2𝑥−𝑦>0

9. Example 3:
Graph 3𝑥 −2𝑦>6
Example 4: Graph 𝑦>3

10. EXAMPLE 3
Graph 3𝑥 −2𝑦>6

11. EXAMPLE 4
Graph 𝑦>3