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Questions: Algebra BusinessCalculus
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Solve \(\displaystyle - x - 4 > 18\). Write the solution in interval notation.
Isolating \(\displaystyle x\) gives \(\displaystyle - x>22\). Dividing off the \(\displaystyle x\) coefficient and reversing the inequality symbol because its negative gives \(\displaystyle x<-22\). The solution is \(\displaystyle \left(-\infty, -22\right)\)
\begin{question}Solve $- x - 4 > 18$. Write the solution in interval notation.
\soln{9cm}{Isolating $x$ gives $- x>22$. Dividing off the $x$ coefficient and reversing the inequality symbol because its negative gives $x<-22$. The solution is $\left(-\infty, -22\right)$}
\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 - x - 4 > 18 " src="/equation_images/%20%5Cdisplaystyle%20-%20x%20-%204%20%3E%2018%20" alt="LaTeX: \displaystyle - x - 4 > 18 " data-equation-content=" \displaystyle - x - 4 > 18 " /> . 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 - x>22 " src="/equation_images/%20%5Cdisplaystyle%20-%20x%3E22%20" alt="LaTeX: \displaystyle - x>22 " data-equation-content=" \displaystyle - x>22 " /> . 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<-22 " src="/equation_images/%20%5Cdisplaystyle%20x%3C-22%20" alt="LaTeX: \displaystyle x<-22 " data-equation-content=" \displaystyle x<-22 " /> . The solution is <img class="equation_image" title=" \displaystyle \left(-\infty, -22\right) " src="/equation_images/%20%5Cdisplaystyle%20%5Cleft%28-%5Cinfty%2C%20-22%5Cright%29%20" alt="LaTeX: \displaystyle \left(-\infty, -22\right) " data-equation-content=" \displaystyle \left(-\infty, -22\right) " /> </p> </p>