# Chapter 6 - Systems of Equations and Inequalities - 6-3 Solving Systems Using Elimination - Mixed Review - Page 380: 54

x $\geq$ 7

#### Work Step by Step

Our inequality to solve is: 3(2x-1) $\geq$ 5x+4 First lets simplify our inequality by distributing the 3 on the left side of the inequality. This leads us to: 6x-3 $\geq$ 5x+4 Our goal is to isolate the variable so first lets eliminate the two x-terms on both sides of the inequality and make them one single term by subtracting 5x from both sides of of the inequality. This gives us: x-3 $\geq$ 4 Now lets add 3 to both sides so that we have fully isolated the variable which leads us to the solution of the inequality. This gives us: x $\geq$ 7

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