Which system of inequalities is shown in the graph?

Option C.

Step-by-step explanation:

If a line passes through two points and , then the equation of line is

The line passes through the points (1,0) and (0,-2). So, the equation of line is

It is a solid line and the shaded region lies below the line, so the sign of inequality must be "≤".

First inequality is .

The parabola intersect the x-axis at 0 and 3, so the equation of of parabola is

It is a solid curve and the shaded region lies above the curve, so the sign of inequality must be "≥".

Second inequality is .

Therefore, the correct option is C.

hello from mrbilldoesmath!

answer:

the domain is the set { -2, 0, 2, 3}

discussion:

the domain is the set of x values in the ordered pairs (x,y). taking the x, or first component, of each ordered pair gives   -2, 0, 2, 3.

you,

mrb