2.6 Linear Inequalities in TwoVariables
Linear Inequalities• Look like the equation of a line, but have  <, >, ≥, or ≤ instead of =.• Solutions are ordered pairs ...
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
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2.6 Linear Inequalities in Two Variables

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2.6 Linear Inequalities in Two Variables

  1. 1. 2.6 Linear Inequalities in TwoVariables
  2. 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. 3. Checking Solutions • Is (0, 1) a solution of 2x + 3y ≥ 5 ?
  4. 4. Your Turn!• Is (4, -1) a solution of 2x + 3y ≥ 5 ?• Is (-3, 2) ?
  5. 5. Graphing Linear Inequalities• Example:• Graph the inequality: y < -2
  6. 6. • Example:• Graph the inequality: x ≥ 1
  7. 7. Your Turn!• Graph the inequalities: y≥2 x>1
  8. 8. Two Variable Inequalities• Example:• Graph y < 2x - 3
  9. 9. Your Turn!• Graph y > - x – 4
  10. 10. Example:• Graph 2x – 5y ≥ 10
  11. 11. Your Turn!• Graph 4x + 2y ≥ 8
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