Question

Jodi bough a new car with 14 gallon gas tank. Around the town she is able to drive 336 miles on one tank of gas. on her first trip traveling on highways, she drives 448 on one tank of gas.A: Write a compound inequality in compact from the represents how many miles Jodi can drive on a tank of gas. Let m represent the number of miles per gallon.B: Rewrite the compound inequality as two simply inequalities separate by either and or, or.C: Solve each simple inequality. Then write the solution in compact form.

Answer 1

We have the following:

A.

Let m represent the number of miles per gallon, the inequality would be as follows

`(336)/(14)\leq m\leq(448)/(12)`

B. In two simple inequalities we have this

`m\ge(336)/(14)\text{ or }m\leq(448)/(14)`

C.

`\begin{gathered} m\ge24\text{ or }m\leq32 \\ 24\leq m\leq32 \end{gathered}`