2.6 Linear Inequalities in Two
Variables
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.
Checking Solutions
 • Is (0, 1) a solution of 2x + 3y ≥ 5 ?
Your Turn!
• Is (4, -1) a solution of 2x + 3y ≥ 5 ?




• Is (-3, 2) ?
Graphing Linear Inequalities
• Example:
• Graph the inequality: y < -2
• Example:
• Graph the inequality: x ≥ 1
Your Turn!
• Graph the inequalities:
     y≥2                    x>1
Two Variable Inequalities
• Example:
• Graph y < 2x - 3
Your Turn!
• Graph y > - x – 4
Example:
• Graph 2x – 5y ≥ 10
Your Turn!
• Graph 4x + 2y ≥ 8

2.6 Linear Inequalities in Two Variables