Question

Which linear inequality is represented by the graph

Answer 1

For this case we have that the boundary line of inequality is dotted, therefore equality is not included.

We find the slope of the line, substituting two points that pass through it:

`(0,3)\\(3,5)\\m = \frac {5-3} {3-0} = \frac {2} {3}`

We evaluate a point within the region and see which case is met:

`(x, y) :( 0.6)`

We replace:

`A) y <\frac {2} {3} x + 3\\6 <0 + 3\\6 <3`

It is not fulfilled, we discard the first option.

`C) y> \frac {2} {3} x + 3\\6> 0 + 3\\6> 3`

Is fulfilled!

Answer:

Option C