Question

aurora sarabia
graphing linear inequality systems (a.rei.12)
systems of linear inequalities
system of linear inequalities
multiple-choice question
if possible solutions to a system of linear inequalities are found where the shading overlaps... how many solutions does this system have?
infinite solutions
zero solutions
one solution

Explanation:

A system of linear inequalities' solution is the overlapping shaded region. This region contains infinitely many points (since inequalities represent ranges, not single points), so if there's an overlapping shading (a solution region), there are infinite solutions. Zero solutions would mean no overlap, and one solution is for linear equations (not inequalities, generally).

Answer:

A. infinite solutions