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WEEK 3

INEQUALITIES

CONTENT:

  • Graphs of linear inequalities in two variables.
  • Maximum and minimum values of simultaneous linear inequalities.
  • Application of linear inequalities in real life.
  • Introduction to linear programming

Graph of linear inequalities in two variables: We shall consider simultaneous inequalities.

Examples:

Show on a graph the region that contains the solution of the simultaneous inequalities

2x+3y<6,     y-2x≤2,    y≥0

Solution: In each case put  on one side of the inequality

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