Solve for z
z\in \left(-\infty,0\right)\cup \left(\frac{1}{2},\infty\right)
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\frac{7z}{z}+\frac{2}{z}<11
To add or subtract expressions, expand them to make their denominators the same. Multiply 7 times \frac{z}{z}.
\frac{7z+2}{z}<11
Since \frac{7z}{z} and \frac{2}{z} have the same denominator, add them by adding their numerators.
-2\times \frac{1}{z}\left(2z-1\right)<0
Factor out z.
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