Solution 2.3:10a

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Individually, the inequalities
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Individually, the inequalities <math>y\ge x^{2}</math> and <math>y\le 1</math> define the region above the parabola <math>y=x^{2}</math> and under the line <math>y=1</math>, respectively.
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<math>y\ge x^{\text{2 }}</math>
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and
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{| align="center"
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<math>y\le \text{1 }</math>
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|align="center"|[[Image:2_3_10_a-1.gif|center]]
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define the region above the parabola
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|width="10px"|&nbsp;
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<math>y=x^{\text{2}}\text{ }</math>
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|align="center"|[[Image:2_3_10_a-2.gif|center]]
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and under the line
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<math>y=\text{1}</math>, respectively.
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|align="center"|<small>The region ''y''&nbsp;≥&nbsp;''x''²</small>
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|align="center"|<small>The region ''y''&nbsp;≤&nbsp;1</small>
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|}
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Those points which satisfy both inequalities lie in the region above the parabola, but below the line <math>y=1\,</math>.
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[[Image:2_3_10_a.gif|center]]
 
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Those points which satisfy both inequalities lie in the region above the parabola, but below the line
 
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<math>y=\text{1}</math>
 
[[Image:2_3_10_a2.gif|center]]
[[Image:2_3_10_a2.gif|center]]

Current revision

Individually, the inequalities \displaystyle y\ge x^{2} and \displaystyle y\le 1 define the region above the parabola \displaystyle y=x^{2} and under the line \displaystyle y=1, respectively.

 
The region y ≥ x² The region y ≤ 1

Those points which satisfy both inequalities lie in the region above the parabola, but below the line \displaystyle y=1\,.


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