Chapter 6.7, Problem 7E

To determine

The solution for the inequality $\sqrt{x-3}\ge 2$ with the help of graph.

Answer to Problem 7E

The solution for the inequality is $x\ge 7$ which represents the darker region.

Explanation of Solution

Given information: The given inequality is $\sqrt{x-3}\ge 2$ .

Graph: The graph for the inequality $\sqrt{x-3}\ge 2$ is shown as,

  

Interpretation: From the graph $\sqrt{x-3}\ge 2$ the solution is the portion of darker region for which $x\ge 7$ . Therefore the solution for the inequality $\sqrt{x-3}\ge 2$ is $x\ge 7$ .