Ordered pair, system of linear equalities

Question

Can somebody please help me with this Algebra 1 Problem? I'm not sure what to do, I've provided a pic.
https://ibb.co/hNuh9a

Answer 1

Hi Chris - to solve this problem, we need to know 2 definitions

 

1) An ordered pair is just the (X, Y) coordinates

2) A "solution" to a system of equations is an ordered pair that works for all the equations (2 equations in our case)

 

For inequalities in a graph, the solutions are the points that are in the shaded region (and on solid line if the shaded region and solid line intersect...if the point is just on the solid line but not on the shaded region, then it is NOT a solution)

 

Regarding solid and dotted lines:

1) Solid line means that the solution CAN be on the line

2) Dotted line means that the solution CAN NOT be on the line

 

So, to answer the question, we need to find each ordered pair on the graph and see if it's in the shaded region / on the solid line

 

a) (2, 1): not in shaded region, so NOT solution

b) (-3, -2): in shaded region but on the dotted line, so NOT solution

c) (0, 2): in shaded region and on solid line so YES

d) (-1, -4): not in shaded region, so NOT solution