Identify the inequalities A, B, and C for which the given ordered pair is a solution: (0,0)

Answer:
Options (A) and (C)
Step-by-step explanation:
A). The given inequality is,
x + y ≤ 2
Solution area of the inequality is the shaded area below the line.
Since (0, 0) lies in the shaded region, ordered pair will be a solution of this inequality.
B). For the inequality y ≤ [tex]\frac{3}{2}x-1[/tex]
Since, (0, 0) doesn't lie in the shaded region of this inequality, ordered pair will not be a solution of the inequality.
C). y > [tex]-\frac{1}{3}x-2[/tex]
In this graph (0, 0) lies in the shaded region of the inequality therefore, it will be a solution of the given inequality.
Therefore, Options (A) and (C) are the correct options.