Question

Which of the following systems of inequalities would have no solution?


y > 3x + 1

y < 3x + 8


y > 2x + 1

y < -3x


y > 1/2x + 8

y < -2x -2


y < 3x + 1

y > 3x + 8

Answer 1

So, what this is saying, is that when you plug in an x-value, the result will have to be true for both equations. In terms of graphs, which will be easiest (and its how i got the answer), is that the shaded region overlaps. The only way it doesn't overlap is when they are parallel:
Its d. Want more explanation?

Answer 2

In the terrible picture I drew above, the shaded regions do NOT overlap, meaning that no x value that you put in, will make this inequality true; whatever you put one, won't make both equations true.

Answer 3

thank you.