Question

Which inequality is correctly represented by this graph

Answer 1

You should first solve each equation for y.

Eliminate answer choices with wrong slopes or y intercepts.

Then, because it is a dotted line, the answer will only be < or >.

And because the area is shaded to the right, it would mean that x > y.

So the answer is A) 3x - y > 3

Answer 2

Answer:

The correct option is A.

Step-by-step explanation:

If a line passing through two points then the equation of line is

$y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)$

From the given graph it is clear that the related line passing through the points (0,-3) and (1,0). So, the equation of related line is

$y-(-3)=\frac{0-(-3)}{1-0}(x-0)$

$y+3=3x$

The (0,0) is not in the solution set. So check the equation be (0,0).

$0+3=3(0)$

$3=0$

This condition is false if the sign of inequality is < or ≤. Since the related line is a solid line, therefore the sign of inequality must be <.

The required inequality is

$y+3$

$3$

It is also written as

$3x-y>3$

Therefore the correct option is A.