# How do you graph the inequality #x^2 + 7x + 6 <=6#?

##### 2 Answers

Mar 22, 2016

Graph quadratic function.

#### Explanation:

First, graph the parabola y = x(x + 7) = 0 by the vertex and the 2 x-intercepts.

x-coordinate of vertex:

y-coordinate of vertex:

The 2 x-intercepts are --> y = 0 --> x = 0 and x = -7.

The solution set of the inequality (1) is the area below the parabola.

graph{x(x + 7) [-40, 40, -20, 20]}

Note. The parabola is included in the solution set.

Mar 22, 2016