Question

The coordinate grid shows points A through K. What point is a solution to the system of inequalities?

y< -2x + 10
D
OI
OB
OA
4
OF
с
·
6
-8-7-6-5-4-3-2-1 1 2 3 4 5 6 7 8 9 10
E
894103
G
m
H -3
234 1
FLE
76809
-7
-8
-10
K
F
B
-
?

Answer 1

The point that is a solution for the inequality graphed is point F

How to find the solution.

The solution can be found by substituting each point into the equation, and solving to know if the solution is correct.

Alternatively, we can sought the solution by making graph of the system of the inequality equations.

Using the graph of the inequality equations (graph attached), we can compare the part where the shading is superimposed. Points on these area is the solution of the graph

Comparing with the attached graph the solution of the system of inequality equation is F