Chapter 1 - Equations and Inequalities - 1.7 Inequalities - 1.7 Exercises - Page 159: 25

$$\color{blue}{[500,\infty]}$$

Remember that the break even point is where the revenue, $R$ is greater than or equal to the costs, $C$ or more simply, $$R\geq{C}$$ Simply plug in the values and work the inequality $60x\geq{50x+5000}$ subtract $50x$ from both sides $10x\geq{5000}$ Divide by $10$ $x\geq{500}$ So the break even point is $\color{blue}{[500,\infty]}$