Question

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

Answer 1

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 ≤ $\frac{3}{2}x-1$

   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 > $-\frac{1}{3}x-2$

    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.