Solution 2.3:10d
From Förberedande kurs i matematik 1
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 |