7. If -3 < x < 3, determine c and d for the inequality c < 2x + 1 < d

Mathematics

1 answer:

pogonyaev2 years ago

6 0

Answer:

C= -5

D = 7

Step-by-step explanation:

$- 3 < x < 3 \\ \\ - 6 < 2x < 6 \\ \\ - 6 + 1 < 2x + 1 < 6 + 1 \\ \\ - 5 < 2x + 1 < 7$

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$\bf \textit{hyperbolas, vertical traverse axis }\\\\
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\qquad 
\begin{cases}
center\ ({{ h}},{{ k}})\\
vertices\ ({{ h}}, {{ k}}\pm a)\\
c=\textit{distance from}\\
\qquad \textit{center to foci}\\
\qquad \sqrt{{{ a }}^2+{{ b }}^2}
\end{cases}\\\\
-------------------------------\\\\$

$\bf \begin{cases}
h=0\\
k=0\\
a=4\\
c=5
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\\\\\\
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