Inequalities

1. Inequalities Learning Outcomes Explain the notation of inequalities (Grade C) Draw inequalities on a number line (Grade C) Give integer values of inequalities (Grade C) Solve inequalities (Grade C/B) Show inequalities graphically (Grade B)

2. Notation x > 3 x is greater than 3 x < 3 x is less than 3 x ≥ 3 x is greater than or equal to 3 x ≤ 3 x is less than or equal to 3 1 < x < 3 x is greater than 1 but less than 3 (i.e. x lies between 1 and 3)

3. Drawing inequalities on a number line

4. Giving integer values of inequalities To list the integer values of an inequality you need to give the possible whole number values of x. -4 < x ≤ 3 -4 < x < 3 -4 ≤ x ≤ 3 Sometimes you are asked to find the largest integer represented by x. x + 5 ≤ 12 3x - 2 < 12

24. Solving inequalities

25. Solving inequalities

26. Solving inequalities

27. Solving inequalities

28. Solving inequalities Solve

29. Plotting graphs of inequalities

30. Plotting graphs of inequalities

31. Plotting graphs of inequalities

32. Plotting graphs of inequalities

33. Plotting graphs of inequalities

34. Plotting graphs of inequalities

35. Plotting graphs of inequalities