#### Answer

At least 1.5 hours and at most is 3.5 hours

#### Work Step by Step

First, let $x$ be the number of hours a mechanic is going to work on the job. Then, from the asked problem we have the inequality:
$ 226\leq175 + 34x\leq294$
Next, all we have to do is solve the inequalities.
Subtract $175$ on all sides.
$ 226-175\leq175 + 34x-175\leq294-175$
$ 51\leq 34x\leq119$
Divide with $ 34$ on all sides.
$ \frac{51}{34}\leq \frac{34x}{34}\leq\frac{119}{34}$
And we get:
$1.5\leq x \leq3.5$
Which is our solution.