Question

Algebraically, an ordered pair is a solution to a system of two linear inequalities if and only if it __________.






A.


makes both the top and bottom inequalities false




B.


makes the top inequality true and the bottom inequality false




C.


makes the top inequality false and the bottom inequality true




D.


makes both the top and bottom inequalities true

Answer 1

algebraically an ordered pair is a solution to a system of two linear inequalities if and only if the solution (x, y), both the x-value and the y-value satisfy both linear inequalities
To see if an ordered pair is a solution to a system of two linear inequalities, plug it into the inequalities and simplify. If you get a true statement in both inequalities, then the ordered pair is a solution to the system of two inequalities. If you get a false statement in one or both inequalities, then the ordered pair is not a solution to a system of two linear inequalities.

Answer 2

The answer is D