SOLUTION: What is the situation when two linear inequalities have no solution? And what conditions need to be satisfied for a system of linear inequalities to have its solution in the first

Question 37362: What is the situation when two linear inequalities have no solution? And what conditions need to be satisfied for a system of linear inequalities to have its solution in the first quadrant?
Thank You :)
Answer by fractalier(6550) (Show Source): You can put this solution on YOUR website!
Well for no solution to exist, the lines that govern them would need to be parallel and the shaded half-planes would have to be in opposite directions so that there is no overlapping of shaded areas. They could even represent the same line as long as they are both dotted and are shaded oppositely. For a system of inequalities to have a solution in the first quadrant, both (or all) shaded half-planes must intersect somewhere in the first quadrant.
RELATED QUESTIONS
What is the situation when two inequalities have no solution? What are the conditions... (answered by xcentaur)

What is the situation when 2 linear inequalities have no... (answered by mukhopadhyay)

Linear Inequalities The school board is investigating ways to hire a faculty for the... (answered by psbhowmick)

twice a number x plus 4 is at least 10 and no more than 16, for what values of x are... (answered by addingup,ikleyn,MathTherapy)

The school board is investigating ways to hire a faculty for the summer program. They can (answered by josmiceli)

When graphing a linear inequality, how do you know if the inequality represents the area... (answered by stanbon)

when can you say that there is no solution for a system of linear... (answered by Edwin McCravy)

what is the solution for 2x-3y≤12 and x+5y≤20, x>0 for a system of linear... (answered by sofiyac)

algebraically an ordered pair is a solution to a system of two linear inequalities if and (answered by MathLover1)