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Linear Inequalities

Linear Inequalities. Objective: To graph linear inequalities. a = 2. f = 2. r = 3. w = 6. t = 4. n = 5. h = 7. p = 3. Warm UP. Solve the equations below:. (1) 2h + 6 = 20. (5) 4r + 14 = 26. (2) 3n + 11 = 26. (6) 8f + 21 = 37. (3) 4w + 5 = 29. (7) 6a + 32 = 44. (4) 7t + 3 = 31.

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Linear Inequalities

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  1. Linear Inequalities Objective: To graph linear inequalities

  2. a = 2 f = 2 r = 3 w = 6 t = 4 n = 5 h = 7 p = 3 Warm UP Solve the equations below: (1) 2h + 6 = 20 (5) 4r + 14 = 26 (2) 3n + 11 = 26 (6) 8f + 21 = 37 (3) 4w + 5 = 29 (7) 6a + 32 = 44 (4) 7t + 3 = 31 (8) 9p + 32 = 59

  3. Linear Inequality An inequality is an open mathematical sentence formed when an inequality symbol is placed between two expressions. Examples of inequalities: x < 3 x – 4 ≤ 5 x + 2 > 7 x ≥ 4

  4. < Less Than ≤ Less than or Equal To > Greater Than ≥ Greater than or Equal to

  5. The graph of a linear inequality is the graph on the real number line of all solutions of the inequality. Lets graph a simple inequality: x < 3 -4 -2 0 2 4 6 8 In words this says: all real numbers less than 3 Lets graph another: x ≥ 4 -4 -2 0 2 4 6 8 In words: all real numbers greater than or equal to 4

  6. x < 6 x > -2 x ≤ 6 x < 0 x ≥ 6 4. 5. 3. 1. -4 -2 0 2 4 6 8 -4 -2 0 2 4 6 8 2. -4 -2 0 2 4 6 8 -4 -2 0 2 4 6 8 -4 -2 0 2 4 6 8 Your Turn Graph the following inequalities

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