Solution 2.3:10a

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Individually, the inequalities
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<center> [[Image:2_3_10a.gif]] </center>
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<math>y\ge x^{\text{2 }}</math>
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and
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<math>y\le \text{1 }</math>
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define the region above the parabola
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<math>y=x^{\text{2}}\text{ }</math>
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and under the line
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<math>y=\text{1}</math>, respectively.
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[[Image:2_3_10_a.gif|center]]
[[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>
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[[Image:2_3_10_a2.gif|center]]
[[Image:2_3_10_a2.gif|center]]

Revision as of 12:19, 21 September 2008

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

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

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