Intersection of Half-Planes

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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

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