Question

help please

Answer 1

Without having to know anything about inequalities, you should just examine where the lines are plotted. Both equations have -2 as their y intercept. Only one line in the first image hits -2 on the y line so it must be the second one.

Answer 2

Oh nevermind, you put more options. In that case, you can rule out number 1.

Answer 3

Same thing applies for the last image since the lines don't all hit -2.

Answer 4

Now the only difference, from the second and third image is where it is shaded in. In this case, you want to plug in 0,0 for x and y and see what equation works.

Answer 5

Are you getting this so far?

Answer 6

yes

Answer 7

alternate approach (usually faster)
given the graph match the inequality for each and see the overlap

Answer 8

Lets take the first equation y < -3x - 2. If you plug in 0 for both x and y, that would make the equation 0<-2 which is not correct. Therefore, the shaded region should be away from 0,0 making it the second graph on the first screenshot.