Question

The graph below represents which system of inequalities?

Choices:

y < -2x + 6
y < x + 2

y ≤ -2x + 6
y ≤ x + 2

y < 2 over 3x - 2
y > 2x + 2

None of the above

Answer 1

Graph

Answer 2

one approach
find the equation of each line
pick a point in the shaded section to determine the inequality
choose the option that satisfies both inequalities

for example when x = 1 the y value satisfies both inequalities

Answer 3

I dont understand how to do that though

Answer 4

@Compassionate

Answer 5

when x = 0 what is y? and when y = 0 what is x ? use this to separate the lines
you have 2 points you can find the slope you know the equation of the line
look at the shaded side of that line and identify the inequality is the shaded section less than or greater than that line?