# Chapter 3 - Solving Inequalities - 3-4 Solving Multi-Step Inequalities - Practice and Problem-Solving Exercises - Page 190: 21

$9\gt z$

#### Work Step by Step

$30\gt-(5z+15)+10z$ $\longrightarrow$ multiply (by -1) using the distributive property $30\gt-5z-15+10z$ $\longrightarrow$ combine like terms $30\gt5z-15$ $\longrightarrow$ add 15 to both sides $30+15\gt5z-15+15$ $45\gt5z$ $\longrightarrow$ divide both sides by 5 $45\div5\gt5z\div5$ $\longrightarrow$ simplify $9\gt z$ Check the inequality. $30\gt-(5(0)+15)+10(0)$ $30\gt-(0+15)+0$ $30\gt-15\checkmark$

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