Aus Online Mathematik Brückenkurs 1

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The expression <math>\text{1}\ge x\ge \text{ }y^{\text{2}}</math> means that we have a region which is defined by the two inequalities <math>\text{1}\ge x\text{ }</math> and <math>x\ge \text{ }y^{\text{2}}</math>. The first inequality gives us the region to the left of the line <math>x=\text{1}</math>. If the other inequality had been instead <math>y=x^{\text{2}}</math>, we would have a region above the parabola <math>y=x^{\text{2}}</math>, but in our case <math>x</math> and <math>y</math> have reversed roles, so the inequality <math>x\ge \text{ }y^{\text{2}}</math> defines the same type of parabolic region, but with the <math>x</math> - and <math>y</math> -axes having changed place. [[Image:2_3_10_c1.gif|center]] Together, the inequalities define the region that is bordered on the left by the parabola and on the right by the line. [[Image:2_3_10_c2.gif|center]]

• 2.3.10c - Solution - The region 1 ≥ x
• 2.3.10c - Solution - The region 1 ≥ x ≥ y²
• 2.3.10c - Solution - The region x ≥ y²

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