15 lines
339 B
TeX
15 lines
339 B
TeX
\begin{align*}
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x^2+2x+2 &> 50 \\
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(x+1)^2 + 1 &> 50 \qquad \text{(første kv. setning)} \\
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(x+1)^2 &> 49 \\
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x+1 &> \pm\sqrt{49} \\
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\end{align*}
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Vi deler opp likningen
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\begin{align*}
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-\sqrt{49} &< x+1 &&\vee& x+1 &< \sqrt{49} \\
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-7 &< x+1 &&\vee& x+1 &< 7 \\
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-8 &< x &&\vee& x &< 6 \\
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\end{align*}
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\[x \in \left(-8,6\right)\] |