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Questions: Algebra BusinessCalculus
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Solve \(\displaystyle - 6 x - 2 \leq 20\). Write the solution in interval notation.
Isolating \(\displaystyle x\) gives \(\displaystyle - 6 x\leq22\). Dividing off the \(\displaystyle x\) coefficient and reversing the inequality symbol because its negative gives \(\displaystyle x\geq- \frac{11}{3}\). The solution is \(\displaystyle \left[- \frac{11}{3}, \infty\right)\)
\begin{question}Solve $- 6 x - 2 \leq 20$. Write the solution in interval notation.
\soln{9cm}{Isolating $x$ gives $- 6 x\leq22$. Dividing off the $x$ coefficient and reversing the inequality symbol because its negative gives $x\geq- \frac{11}{3}$. The solution is $\left[- \frac{11}{3}, \infty\right)$}
\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 - 6 x - 2 \leq 20 " src="/equation_images/%20%5Cdisplaystyle%20-%206%20x%20-%202%20%5Cleq%2020%20" alt="LaTeX: \displaystyle - 6 x - 2 \leq 20 " data-equation-content=" \displaystyle - 6 x - 2 \leq 20 " /> . 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 - 6 x\leq22 " src="/equation_images/%20%5Cdisplaystyle%20-%206%20x%5Cleq22%20" alt="LaTeX: \displaystyle - 6 x\leq22 " data-equation-content=" \displaystyle - 6 x\leq22 " /> . 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\geq- \frac{11}{3} " src="/equation_images/%20%5Cdisplaystyle%20x%5Cgeq-%20%5Cfrac%7B11%7D%7B3%7D%20" alt="LaTeX: \displaystyle x\geq- \frac{11}{3} " data-equation-content=" \displaystyle x\geq- \frac{11}{3} " /> . The solution is <img class="equation_image" title=" \displaystyle \left[- \frac{11}{3}, \infty\right) " src="/equation_images/%20%5Cdisplaystyle%20%5Cleft%5B-%20%5Cfrac%7B11%7D%7B3%7D%2C%20%5Cinfty%5Cright%29%20" alt="LaTeX: \displaystyle \left[- \frac{11}{3}, \infty\right) " data-equation-content=" \displaystyle \left[- \frac{11}{3}, \infty\right) " /> </p> </p>