GCSE Maths (Edexcel)

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Simultaneous Inequalities

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Algebra Solving Equations and Inequalities

Simultaneous Inequalities

7:16 Inequality Graphs
Spec A22
Previous Linear Inequality Graphs Next Introduction to Sequences
  • Simultaneous inequalities are a set of inequalities that need to be satisfied at the same time
  • The solution to simultaneous inequalities is the set of values that satisfies all the individual inequalities
  • Simultaneous inequalities can be shown visually on a graph as a single region
  • Each individual inequality is represented by a boundary line on the graph
  • The shaded region below the boundary line represents the points that satisfy the inequality
  • The points that satisfy all the inequalities simultaneously will fall inside the shaded regions of all the individual inequalities
  • Drawing a graph is the best way to represent the solution to simultaneous inequalities
  • In the example given, the solution to the simultaneous inequalities is represented by a region on the graph that satisfies all three inequalities simultaneously

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