Intersection of Half-Planes

Year 10 Interactive Maths - Second Edition

Intersection of Half-Planes

The region common to two or more inequalities is useful in the study of linear programming; and it can be depicted on the Cartesian plane as illustrated in the following example.

Example 24

Solution:

x-intercept:

y-intercept:

x-intercepts:

y-intercept:

The points of intersection are obtained by solving the simultaneous equations:

Key Terms

half-plane graphs, points of intersection

Study Another Topic in Chapter 13: Quadratic Graphs

[ Quadratic Functions ] [ Graphs of y = ax² + c, a > 0 ] [ Graphs of y = a(x - b)², a > 0 ] [ Graphs of y = a(x - b)² + c, a > 0 ] [ Quadratic Graphs by Transformations ] [ Translation ] [ Sketching Parabolic Graphs ] [ Problem Solving I ] [ Quadratic Inequalities ] [ Simultaneous Equations - Linear/Quadratic ] [ Problem Solving II ] [ Sketching Quadratic Inequalities ] [ Intersection of Half-Planes ] [ Problem Solving Unit ] [ Projects ] [ Symbols ] [ Index ]

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