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Questions: Algebra BusinessCalculus
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Solve \(\displaystyle - 2 x - 8 \geq -2\). Write the solution in interval notation.
Isolating \(\displaystyle x\) gives \(\displaystyle - 2 x\geq6\). Dividing off the \(\displaystyle x\) coefficient and reversing the inequality symbol because its negative gives \(\displaystyle x\leq-3\). The solution is \(\displaystyle \left(-\infty, -3\right]\)
\begin{question}Solve $- 2 x - 8 \geq -2$. Write the solution in interval notation.
\soln{9cm}{Isolating $x$ gives $- 2 x\geq6$. Dividing off the $x$ coefficient and reversing the inequality symbol because its negative gives $x\leq-3$. The solution is $\left(-\infty, -3\right]$}
\end{question}
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\begin{document}\begin{question}(10pts) The question goes here!
\soln{9cm}{The solution goes here.}
\end{question}\end{document}<p> <p>Solve <img class="equation_image" title=" \displaystyle - 2 x - 8 \geq -2 " src="/equation_images/%20%5Cdisplaystyle%20-%202%20x%20-%208%20%5Cgeq%20-2%20" alt="LaTeX: \displaystyle - 2 x - 8 \geq -2 " data-equation-content=" \displaystyle - 2 x - 8 \geq -2 " /> . Write the solution in interval notation. </p> </p>
<p> <p>Isolating <img class="equation_image" title=" \displaystyle x " src="/equation_images/%20%5Cdisplaystyle%20x%20" alt="LaTeX: \displaystyle x " data-equation-content=" \displaystyle x " /> gives <img class="equation_image" title=" \displaystyle - 2 x\geq6 " src="/equation_images/%20%5Cdisplaystyle%20-%202%20x%5Cgeq6%20" alt="LaTeX: \displaystyle - 2 x\geq6 " data-equation-content=" \displaystyle - 2 x\geq6 " /> . Dividing off the <img class="equation_image" title=" \displaystyle x " src="/equation_images/%20%5Cdisplaystyle%20x%20" alt="LaTeX: \displaystyle x " data-equation-content=" \displaystyle x " /> coefficient and reversing the inequality symbol because its negative gives <img class="equation_image" title=" \displaystyle x\leq-3 " src="/equation_images/%20%5Cdisplaystyle%20x%5Cleq-3%20" alt="LaTeX: \displaystyle x\leq-3 " data-equation-content=" \displaystyle x\leq-3 " /> . The solution is <img class="equation_image" title=" \displaystyle \left(-\infty, -3\right] " src="/equation_images/%20%5Cdisplaystyle%20%5Cleft%28-%5Cinfty%2C%20-3%5Cright%5D%20" alt="LaTeX: \displaystyle \left(-\infty, -3\right] " data-equation-content=" \displaystyle \left(-\infty, -3\right] " /> </p> </p>