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Questions: Algebra BusinessCalculus
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Solve \(\displaystyle 5 x + 8 \geq -1\). Write the solution in interval notation.
Isolating \(\displaystyle x\) gives \(\displaystyle 5 x\geq-9\). Dividing off the \(\displaystyle x\) coefficient gives \(\displaystyle x\geq0\). The solution is \(\displaystyle \left[- \frac{9}{5}, \infty\right)\)
\begin{question}Solve $5 x + 8 \geq -1$. Write the solution in interval notation.
\soln{9cm}{Isolating $x$ gives $5 x\geq-9$. Dividing off the $x$ coefficient gives $x\geq0$. The solution is $\left[- \frac{9}{5}, \infty\right)$}
\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 5 x + 8 \geq -1 " src="/equation_images/%20%5Cdisplaystyle%205%20x%20%2B%208%20%5Cgeq%20-1%20" alt="LaTeX: \displaystyle 5 x + 8 \geq -1 " data-equation-content=" \displaystyle 5 x + 8 \geq -1 " /> . 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\geq-9 " src="/equation_images/%20%5Cdisplaystyle%205%20x%5Cgeq-9%20" alt="LaTeX: \displaystyle 5 x\geq-9 " data-equation-content=" \displaystyle 5 x\geq-9 " /> . 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\geq0 " src="/equation_images/%20%5Cdisplaystyle%20x%5Cgeq0%20" alt="LaTeX: \displaystyle x\geq0 " data-equation-content=" \displaystyle x\geq0 " /> . The solution is <img class="equation_image" title=" \displaystyle \left[- \frac{9}{5}, \infty\right) " src="/equation_images/%20%5Cdisplaystyle%20%5Cleft%5B-%20%5Cfrac%7B9%7D%7B5%7D%2C%20%5Cinfty%5Cright%29%20" alt="LaTeX: \displaystyle \left[- \frac{9}{5}, \infty\right) " data-equation-content=" \displaystyle \left[- \frac{9}{5}, \infty\right) " /> </p> </p>