Chapter 1.9, Problem 7E

Solution

Graph the inequality $y\ge 4x^2$ .

Given:

The inequality is $y\ge 4x^2$ .

Graph:

The graph for the inequality $y\ge 4x^2$ is shown below.

  

Interpretation:

From the graph it can be interpreted that the graph is an upward parabola with vertex $\left(0,0\right)$ and it has no $x-$ intercept $\left(0,0\right)$ . And the shaded region lies inside the parabolic region. Therefore, the solution for the inequality $y\ge 4x^2$ is all point lying inside the shaded region including the dark parabolic curve.