Question

How do you graph `y > 2x - 5`?

Answer 1

see explanation

Explanation:

is a dotted line as the y value can not be on the actual line.

= is a solid line as the y value can be on the actual line

So we plot the line `y=2x-5` but use a dotted line.

As we have `y>` we may select any value of `y` that is greater than the `y` for `y=2x-5`

So for a given value of `x` there would be an infinite values of `y` apart from that on the line or below it. Thus we have a region of permitted values.

Critical points for the plot (dotted line)

x-intercept is at `y=0`

`0=2x-5 => x_("intercep")=5/2`

y-intercept is at `x=0`

`y=2(0)-5=>y_("intercept")=-5`