Solution 2.3:10c

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

The expression \displaystyle 1\ge x\ge y^{2} means that we have a region which is defined by the two inequalities \displaystyle 1\ge x and \displaystyle x\ge y^{2}. The first inequality gives us the region to the left of the line \displaystyle x=1. If the other inequality had been instead \displaystyle y\ge x^{2}, we would have a region above the parabola \displaystyle y=x^{2}, but in our case x and y have reversed roles, so the inequality \displaystyle x\ge y^{2} defines the same type of parabolic region, but with the x- and y-axes having changed place.


 
The region 1 ≥ x The region x ≥ y²


Together, the inequalities define the region that is bordered on the left by the parabola and on the right by the line.


The region 1 ≥ x ≥ y²
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