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Maths Gcse Wjec-Eduqas Higher

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  1. Scatter-Graphs-And-Correlation Wjec-Eduqas Higher
    2 主题
  2. Cumulative-Frequency-And-Box-Plots Wjec-Eduqas Higher
    4 主题
  3. Histograms Wjec-Eduqas Higher
    3 主题
  4. Statistical-Diagrams- Wjec-Eduqas Higher
    6 主题
  5. Averages-Ranges-And-Data Wjec-Eduqas Higher
    8 主题
  6. Combined-And-Conditional-Probability Wjec-Eduqas Higher
    3 主题
  7. Tree-Diagrams- Wjec-Eduqas Higher
    1 主题
  8. Simple-Probability-Diagrams- Wjec-Eduqas Higher
    3 主题
  9. Introduction-To-Probability Wjec-Eduqas Higher
    3 主题
  10. Transformations Wjec-Eduqas Higher
    5 主题
  11. Vectors Wjec-Eduqas Higher
    6 主题
  12. 3D-Pythagoras-And-Trigonometry Wjec-Eduqas Higher
    1 主题
  13. Sine-Cosine-Rule-And-Area-Of-Triangles- Wjec-Eduqas Higher
    4 主题
  14. Pythagoras-And-Trigonometry Wjec-Eduqas Higher
    4 主题
  15. Area-And-Volume-Of-Similar-Shapes Wjec-Eduqas Higher
    1 主题
  16. Congruence-Similarity-And-Geometrical-Proof Wjec-Eduqas Higher
    5 主题
  17. Volume-And-Surface-Area- Wjec-Eduqas Higher
    3 主题
  18. Circles-Arcs-And-Sectors- Wjec-Eduqas Higher
    2 主题
  19. Area-And-Perimeter- Wjec-Eduqas Higher
    4 主题
  20. Circle-Theorems Wjec-Eduqas Higher
    7 主题
  21. Bearings-Scale-Drawing-Constructions-And-Loci Wjec-Eduqas Higher
    5 主题
  22. Angles-In-Polygons-And-Parallel-Lines Wjec-Eduqas Higher
    3 主题
  23. Symmetry-And-Shapes Wjec-Eduqas Higher
    6 主题
  24. Exchange-Rates-And-Best-Buys Wjec-Eduqas Higher
    2 主题
  25. Standard-And-Compound-Units- Wjec-Eduqas Higher
    5 主题
  26. Direct-And-Inverse-Proportion- Wjec-Eduqas Higher
    2 主题
  27. Problem-Solving-With-Ratios Wjec-Eduqas Higher
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  28. Ratios Wjec-Eduqas Higher
    3 主题
  29. Sequences Wjec-Eduqas Higher
    4 主题
  30. Transformations-Of-Graphs- Wjec-Eduqas Higher
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  31. Graphing-Inequalities- Wjec-Eduqas Higher
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  32. Solving-Inequalities- Wjec-Eduqas Higher
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  33. Real-Life-Graphs Wjec-Eduqas Higher
    4 主题
  34. Estimating-Gradients-And-Areas-Under-Graphs Wjec-Eduqas Higher
    2 主题
  35. Equation-Of-A-Circle- Wjec-Eduqas Higher
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  36. Graphs-Of-Functions Wjec-Eduqas Higher
    6 主题
  37. Linear-Graphs Wjec-Eduqas Higher
    4 主题
  38. Quadratic-Equations Wjec-Eduqas Higher
    4 主题
  39. Linear-Equations- Wjec-Eduqas Higher
    1 主题
  40. Algebraic-Proof Wjec-Eduqas Higher
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  41. Rearranging-Formulae Wjec-Eduqas Higher
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  42. Coordinate-Geometry- Wjec-Eduqas Higher
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  43. Functions Wjec-Eduqas Higher
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  44. Forming-And-Solving-Equations Wjec-Eduqas Higher
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  45. Iteration Wjec-Eduqas Higher
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  46. Simultaneous-Equations Wjec-Eduqas Higher
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  47. Algebraic-Fractions- Wjec-Eduqas Higher
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  48. Completing-The-Square Wjec-Eduqas Higher
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  49. Factorising Wjec-Eduqas Higher
    6 主题
  50. Expanding-Brackets Wjec-Eduqas Higher
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  51. Algebraic-Roots-And-Indices Wjec-Eduqas Higher
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  52. Introduction-To-Algebra Wjec-Eduqas Higher
    4 主题
  53. Using-A-Calculator Wjec-Eduqas Higher
    1 主题
  54. Surds Wjec-Eduqas Higher
    2 主题
  55. Rounding-Estimation-And-Bounds Wjec-Eduqas Higher
    2 主题
  56. Fractions-Decimals-And-Percentages Wjec-Eduqas Higher
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  57. Simple-And-Compound-Interest-Growth-And-Decay Wjec-Eduqas Higher
    4 主题
  58. Percentages Wjec-Eduqas Higher
    3 主题
  59. Fractions Wjec-Eduqas Higher
    4 主题
  60. Powers-Roots-And-Standard-Form Wjec-Eduqas Higher
    4 主题
  61. Prime-Factors-Hcf-And-Lcm- Wjec-Eduqas Higher
    4 主题
  62. Number-Operations Wjec-Eduqas Higher
    10 主题
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Exam code:C300

Interpreting graphical inequalities

How do I know which inequalities are shown on a graph of shaded regions?

  • To identify the inequalities represented by the shaded regions on a graph:

    • Find the equation of each line on the graph

      • You may have to calculate the gradient and find the y-intercept to use y equals m x plus c

      • Vertical lines have the form x equals k

      • Horizontal lines have the form y equals k

    • Remember that lines are drawn using:

      • a solid line for ≤ or ≥, indicating a line included in the region

      • a dotted line for < or >, indicating a line not included in the region

    • Replace the = sign with the relevant inequality

      • ≤ or < if region is below line

      • ≥ or > if region is above line

      • (Use a point to test if not sure)

Examiner Tips and Tricks

Always read the question carefully to see if the diagram shades the wanted region or the unwanted region.

Worked Example

Write down the three inequalities which define the shaded region shown on the axes below.

A graph showing a shaded region and three inequalities.

Find the equations of the three lines shown (ignoring inequality signs for now)

You may be able to see the lines x equals 1 and <img alt=”y equals x” data-mathml=”<math ><semantics><mrow><mi>y</mi><mo>=</mo><mi>x</mi></mrow><annotation encoding=”application/vnd.wiris.mtweb-params+json”>{“fontFamily”:”Times New Roman”,”fontSize”:”18″,”autoformat”:true,”toolbar”:”<toolbar ref=’general’><tab ref=’general’><removeItem ref=’setColor’/><removeItem ref=’bold’/><removeItem ref=’italic’/><removeItem ref=’autoItalic’/><removeItem ref=’setUnicode’/><removeItem ref=’mtext’ /><removeItem ref=’rtl’/><removeItem ref=’forceLigature’/><removeItem ref=’setFontFamily’ /><removeItem ref=’setFontSize’/></tab></toolbar>”}</annotation></semantics></math>” data-type=”commentary” height=”22″ role=”math” src=”data:image/svg+xml;charset=utf8,%3Csvg%20xmlns%3D%22http%3A%2F%2Fwww.w3.o

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