How do you graph the inequality y >2x-9 and y< -7x+4?

Jan 1, 2018

See explanation

Explanation:

The solution values for x is the x-axis in the shaded region all the way towards but not equal to negative infinity.

Determine the x-intercept for $y = - 7 x + 4$: and you then substitute in:

$- \infty < x < {x}_{\text{intercept}}$

Notice that you can not include the x-intercept as $y$ is less than...
That is why the line is dotted

If we had $y \le t h a n$ then we could include the x-intercept.