Question

The graph shows which inequality? The equation of the boundary line is y=-2x-3.

Answer 1

For this case we have that the equation of the border line of the region is given by:

`y = -2x-3`

To know the sign of inequality, we must evaluate a point that belongs to the region and verify if it is fulfilled.

As the border line is dotted, we discard options A and C.

Then, we evaluate the point (-2, -4)

Option B:
`y <-2x-3`

`-4 <-2 (-2) -3\\-4 <4-3\\-3 <1`

Is fulfilled!

Thus, the region is given by the inequality of option B.

Answer:

Option B