# Chapter 3 - Solving Inequalities - 3-4 Solving Multi-Step Inequalities - Practice and Problem-Solving Exercises - Page 190: 32

no solution

#### Work Step by Step

$9+2x\lt7+2(x-3)\longrightarrow$ multiply using the distributive property $9+2x\lt7+2x-6\longrightarrow$ combine like terms $9+2x\lt1+2x\longrightarrow$ subtract 2x from each side $9+2x-2x\lt1+2x-2x\longrightarrow$ subtract $9\lt1$ Since 9 is not less than one, there is no solution.

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