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Questions: Algebra BusinessCalculus
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Solve \(\displaystyle 4 x - 7 < -5\). Write the solution in interval notation.
Isolating \(\displaystyle x\) gives \(\displaystyle 4 x<2\). Dividing off the \(\displaystyle x\) coefficient gives \(\displaystyle x<0\). The solution is \(\displaystyle \left(-\infty, \frac{1}{2}\right)\)
\begin{question}Solve $4 x - 7 < -5$. Write the solution in interval notation.
\soln{9cm}{Isolating $x$ gives $4 x<2$. Dividing off the $x$ coefficient gives $x<0$. The solution is $\left(-\infty, \frac{1}{2}\right)$}
\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 4 x - 7 < -5 " src="/equation_images/%20%5Cdisplaystyle%204%20x%20-%207%20%3C%20-5%20" alt="LaTeX: \displaystyle 4 x - 7 < -5 " data-equation-content=" \displaystyle 4 x - 7 < -5 " /> . 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 4 x<2 " src="/equation_images/%20%5Cdisplaystyle%204%20x%3C2%20" alt="LaTeX: \displaystyle 4 x<2 " data-equation-content=" \displaystyle 4 x<2 " /> . 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<0 " src="/equation_images/%20%5Cdisplaystyle%20x%3C0%20" alt="LaTeX: \displaystyle x<0 " data-equation-content=" \displaystyle x<0 " /> . The solution is <img class="equation_image" title=" \displaystyle \left(-\infty, \frac{1}{2}\right) " src="/equation_images/%20%5Cdisplaystyle%20%5Cleft%28-%5Cinfty%2C%20%5Cfrac%7B1%7D%7B2%7D%5Cright%29%20" alt="LaTeX: \displaystyle \left(-\infty, \frac{1}{2}\right) " data-equation-content=" \displaystyle \left(-\infty, \frac{1}{2}\right) " /> </p> </p>