# Chapter 3 - Solving Inequalities - 3-5 Working with Sets - Practice and Problem-Solving Exercises - Page 197: 17

$\{p\ |\ p\geq1\}$

#### Work Step by Step

Solve the inequality. $2(3p-11)\geq-16\longrightarrow$ multiply using the distributive property $6p-22\geq-16\longrightarrow$ add 22 to each side $6p-22+22\geq-16+22\longrightarrow$ add $6p\geq6\longrightarrow$ divide each side by 6 $6p\div6\geq6\div6\longrightarrow$ divide $p\geq1$ The solution is written in the criteria area of the set-builder notation.

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