Question

Which system of linear inequalities is represented by the graph?

Answer 1

For the red line, we have:
 
gradient ($m$) = 1/3
y-intercept = 3

Equation of straight line is given by $y=mx+c$, where $m$ is the gradient and $c$ is where the line intercept the y-axis

So we have, $y= \frac{1}{3}x+3$

The shaded part is above the line, hence the first inequality is
$y \geq \frac{1}{3}x+3$

The black line, we have
gradient, $(m)$ = 3
y-intercept = -2

$y=mx+c$
$y=3x-2$, rearranging gives
$3x-y=2$

The shaded region is to the right of the line, hence the inequality is
$3x-y\ \textgreater \ 2$

Note: The first option should be the correct answer but the inequality sign for y > 1/3x + 3 should be $\geq$ 

Answer 2

I JUST TOOK THE TEST AND THE ANSWER IS B