Question

Which system of inequalities is represented by the graph?

Answer 1

The first 2
Y=<3x
Y>-2x-1

Answer 2

Step 1

Find the equation of the inequality A (red line)  

The equation of the red line is

$y=-2x-1$ ------> see the x-intercept of the graph $(-0.5,0)$

The solution of the inequality A is the shaded area above the red dotted line

so

the equation of the inequality A is

$y>-2x-1$

Step 2

Find the equation of the inequality B (blue line)

The equation of the blue line is

$y=3x$ ------> see the graph, the slope is positive

The solution of the inequality B is the shaded area below the blue solid line

so

the equation of the inequality B is

$y \leq 3x$

therefore

the answer is

The system of inequalities is equal to

$y>-2x-1$

$y \leq 3x$