Let's note: x=the time interval that the mechanic will be working on the job

We write the inequalities modeling the problem: \(\displaystyle{226}\le{175}+{34}{x}\le{294}\)

We solve the inequalities: \(\displaystyle{226}-{175}\le{175}+{34}{x}-{175}\le{294}-{175}\)

\(\displaystyle{51}\le{34}{x}\le{119}\)

\(\displaystyle\frac{{51}}{{34}}\le\frac{{110}}{{34}}\)

\(\displaystyle{1.5}\le{x}\le{3.5}\)