# Chapter 2 - Section 2.4 - Linear Inequalities and Problem Solving - Exercise Set - Page 85: 47

$\left[ 3,\infty \right)$

#### Work Step by Step

Using the properties of inequality, the expression $0.8x+0.6x\ge4.2$ simplifies to \begin{array}{l} 10(0.8x+0.6x)\ge(4.2)10 \\ 8x+6x\ge42 \\ 14x\ge42 \\ x\ge3 .\end{array} In interval notation, the solution set is $\left[ 3,\infty \right)$.

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