Question

Please help. Will fan + medal.

The graph below represents which system of inequalities?

y > 2x - 3
y > -x - 3

y < 2x - 2
y < -x + 3

y less than or greater to 2x - 2
y > -x + 3

None of the above

Answer 1

Note that we draw solid lines when we have either \(\leq\) or \(\geq\), so the first two answer choices cannot be correct.

Answer 2

so the solid line has the equation y = 2x-2 (goes through -2 on y-axis and the slope of the line is 2/1).

The dashed line has the equation y = -x + 3 (goes through 3 on y-axis and has slope of -1/1)

Answer 3

The inequality \(y \leq 2x-2\) tells us we should shade below the line (because \(y \leq ...\))
The inequality \(y > -x +3\) tells us we should shade above the line (because \(y > ...\))

So it looks like the picture matches with the third answer choice.