I have been informed that on March 7th from 6:00am to 6:00pm Central Time Lamar University will be doing some maintenance to replace a faulty UPS component and to do this they will be completely powering down their data center.
Unfortunately, this means that the site will be down during this time. I apologize for any inconvenience this might cause.
Paul
February 18, 2026
Section 2.11 : Linear Inequalities
5. Solve the following inequality and give the solution in both inequality and interval notation.
\[0 \le 10w - 15 \le 23\]Show All Steps Hide All Steps
Just like with single inequalities solving these follow pretty much the same process as solving a linear equation. The only difference between this and a single inequality is that we now have three parts of the inequality and so we just need to remember that what we do to one part we need to do to all parts.
Also, recall that the main goal is to get the variable all by itself in the middle and all the numbers on the two outer parts of the inequality.
So, let’s start by add 15 to all the parts. This gives,
\[15 \le 10w \le 38\] Show Step 2Finally, all we need to do is divide all three parts by 10 to get,
\[\frac{3}{2} \le w \le \frac{{19}}{5}\]So, the inequality form of the solution is \(\require{bbox} \bbox[2pt,border:1px solid black]{{\frac{3}{2} \le w \le \frac{{19}}{5}}}\) and the interval notation form of the solution is \(\require{bbox} \bbox[2pt,border:1px solid black]{{\left[ {\frac{3}{2},\frac{{19}}{5}} \right]}}\) .