Solving equations with an inequality (<, >) uses the same process as solving equations with an equal sign. Isolate the variable that you're solving for on one wide of the equation and put everything else on the other side. The only difference is that your answer will be expressed as an inequality (x > 5) and not as an equality (x = 5).

Solve for z:

-9z + 5 > \( \frac{z}{2} \)

z > -\(\frac{28}{29}\) | |

z > \(\frac{10}{19}\) | |

z > -\(\frac{10}{11}\) | |

z > -\(\frac{45}{73}\) |