Final-year Geometric Modelling Course

Problem Sheet 3

Introducing implicit inequalities and set-theoretic geometric models

1

In which regions of the plane are the following inequalities true?


2

What is the compound region where either is true OR is true OR both?


3

What is the region where that AND AND are all true?


4

What is the region where

is true?

(Hint: Don't multiply it out -- think about how to calculate the distance of a point from an implicitly-defined plane and remember Pythagoras.)


5

What is the difference between and ? Does it matter?


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© Adrian Bowyer 1996