Question

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

Answer 1

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=-7x+4`: and you then substitute in:

`-oo < x < x_("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<= than` then we could include the x-intercept.