# Chapter 3 - Solving Inequalities - 3-4 Solving Multi-Step Inequalities - Practice and Problem-Solving Exercises - Page 190: 33

all real numbers

#### Work Step by Step

$2(n-8)\lt16+2n\longrightarrow$ multiply using the distributive property $2n-16\lt16+2n\longrightarrow$ subtract 2n from each side $2n-16-2n\lt16+2n-2n\longrightarrow$ subtract $-16\lt16$ Since -16 is less than 16, the solution is all real numbers.

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