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Questions: Algebra BusinessCalculus
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Solve \(\displaystyle 5 x - 9 \leq -2\). Write the solution in interval notation.
Isolating \(\displaystyle x\) gives \(\displaystyle 5 x\leq7\). Dividing off the \(\displaystyle x\) coefficient gives \(\displaystyle x\leq0\). The solution is \(\displaystyle \left(-\infty, \frac{7}{5}\right]\)
\begin{question}Solve $5 x - 9 \leq -2$. Write the solution in interval notation.
\soln{9cm}{Isolating $x$ gives $5 x\leq7$. Dividing off the $x$ coefficient gives $x\leq0$. The solution is $\left(-\infty, \frac{7}{5}\right]$}
\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 5 x - 9 \leq -2 " src="/equation_images/%20%5Cdisplaystyle%205%20x%20-%209%20%5Cleq%20-2%20" alt="LaTeX: \displaystyle 5 x - 9 \leq -2 " data-equation-content=" \displaystyle 5 x - 9 \leq -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 5 x\leq7 " src="/equation_images/%20%5Cdisplaystyle%205%20x%5Cleq7%20" alt="LaTeX: \displaystyle 5 x\leq7 " data-equation-content=" \displaystyle 5 x\leq7 " /> . 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{7}{5}\right] " src="/equation_images/%20%5Cdisplaystyle%20%5Cleft%28-%5Cinfty%2C%20%5Cfrac%7B7%7D%7B5%7D%5Cright%5D%20" alt="LaTeX: \displaystyle \left(-\infty, \frac{7}{5}\right] " data-equation-content=" \displaystyle \left(-\infty, \frac{7}{5}\right] " /> </p> </p>