Chapter EP, Problem 7.3.13EP

To determine

To graph: The inequality $y>\sqrt{2x}$ .

Explanation of Solution

Given information:

The square root inequality $y>\sqrt{2x}$ .

Graph:

First graph the boundary of the inequality that is $y=\sqrt{2x}$ .

Since, the inequality is strictly greater so the line will be dashed.

Also the square root function does not accept negative value, so domain is $\left\{x|x\ge 0\right\}$ .

Observe that y is greater than therefore the shaded region will lie above the boundary and within the range.

Interpretation:

The region represented by the inequality is unbounded. As the value of x increases the corresponding values of y increases.