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Graphing Quadratic Inequalities

Graphing Quadratic Inequalities 1.7 - Solution

arrow_back Return to Graphing Quadratic Inequalities

We will graph the given quadratic inequality then we will find the error Ron-Jon made. To graph the quadratic inequality, we will follow three steps.

  1. Graph the related quadratic function.
  2. Test a point not on the parabola.
  3. Shade accordingly. If the point satisfies the inequality, we shade the region that contains the point. If not, we shade the opposite region.


Let's draw the graph of the related function, which is


Next, let's determine which region to shade by testing a point. For simplicity, we will use as our test point. Let's see if it satisfies the given inequality.


Since produced a false statement, we will shade the region that does not contain the point. Also, note that the inequality is not strict. Therefore, the parabola will be solid.

Now, let's compare the correct graph with the given one.

We can see that Ron-Jon only made one mistake. He drew the parabola dashed instead of solid.