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Questions: Algebra BusinessCalculus
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Solve \(\displaystyle 3 x + 2 \leq -9\). Write the solution in interval notation.
Isolating \(\displaystyle x\) gives \(\displaystyle 3 x\leq-11\). Dividing off the \(\displaystyle x\) coefficient gives \(\displaystyle x\leq0\). The solution is \(\displaystyle \left(-\infty, - \frac{11}{3}\right]\)
\begin{question}Solve $3 x + 2 \leq -9$. Write the solution in interval notation.
\soln{9cm}{Isolating $x$ gives $3 x\leq-11$. Dividing off the $x$ coefficient gives $x\leq0$. The solution is $\left(-\infty, - \frac{11}{3}\right]$}
\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 3 x + 2 \leq -9 " src="/equation_images/%20%5Cdisplaystyle%203%20x%20%2B%202%20%5Cleq%20-9%20" alt="LaTeX: \displaystyle 3 x + 2 \leq -9 " data-equation-content=" \displaystyle 3 x + 2 \leq -9 " /> . 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 3 x\leq-11 " src="/equation_images/%20%5Cdisplaystyle%203%20x%5Cleq-11%20" alt="LaTeX: \displaystyle 3 x\leq-11 " data-equation-content=" \displaystyle 3 x\leq-11 " /> . 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 gives <img class="equation_image" title=" \displaystyle x\leq0 " src="/equation_images/%20%5Cdisplaystyle%20x%5Cleq0%20" alt="LaTeX: \displaystyle x\leq0 " data-equation-content=" \displaystyle x\leq0 " /> . The solution is <img class="equation_image" title=" \displaystyle \left(-\infty, - \frac{11}{3}\right] " src="/equation_images/%20%5Cdisplaystyle%20%5Cleft%28-%5Cinfty%2C%20-%20%5Cfrac%7B11%7D%7B3%7D%5Cright%5D%20" alt="LaTeX: \displaystyle \left(-\infty, - \frac{11}{3}\right] " data-equation-content=" \displaystyle \left(-\infty, - \frac{11}{3}\right] " /> </p> </p>