## Precalculus (6th Edition) Blitzer

Less than $200$ miles per day will make a basic rental a better deal than an Acme rental.
Let us suppose $x$ is the number of miles driven per day; the daily cost of the basic car is less than the daily cost of the Acme rental, that is, $30+0.05x$. Now, $20+0.10x<30+0.05x$ To solve the inequality, subtract $0.05x$ from both sides. Then, \begin{align} & 20+0.10x-0.05x<30+0.05x-0.05x \\ & 20+0.05x<30 \end{align} Then, simplify, \begin{align} & 20+0.05x-20<30-20 \\ & 0.05x<10 \end{align} $x\lt 200$