1. 2.6 Linear Inequalities in Two
Variables

2. Linear Inequalities
• Look like the equation of a line, but have
<, >, ≥, or ≤ instead of =.
• Solutions are ordered pairs (x, y) that
make the inequality true.

3. Checking Solutions
• Is (0, 1) a solution of 2x + 3y ≥ 5 ?

4. Your Turn!
• Is (4, -1) a solution of 2x + 3y ≥ 5 ?
• Is (-3, 2) ?

5. Graphing Linear Inequalities
• Example:
• Graph the inequality: y < -2

6. • Example:
• Graph the inequality: x ≥ 1

7. Your Turn!
• Graph the inequalities:
y≥2 x>1

8. Two Variable Inequalities
• Example:
• Graph y < 2x - 3

9. Your Turn!
• Graph y > - x – 4

10. Example:
• Graph 2x – 5y ≥ 10

11. Your Turn!
• Graph 4x + 2y ≥ 8