Lösung 2.3:10d

Aus Online Mathematik Brückenkurs 1

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We can rewrite the double inequality \displaystyle x^2\le y\le x as \displaystyle x^2\le y and \displaystyle y\le x\,. These two inequalities define the region above the parabola \displaystyle y=x^2 and the region below the line \displaystyle y=x.


 
The region x² ≤ y The region y ≤ x


The region which the inequalities both define is the region in the first quadrant that is bordered below by the parabola and above by the line.


The region x² ≤ y ≤ x