Question

Which ordered pair is a solution to the system of inequalities?

y ≤ x

y ≤ –2

A)

(–6,2)

B)

(2,–4)

C)

(1,4)

D)

(–2,4)

Answer 1

B) (2, -4)

Explanation:

To find which ordered pair is a solution to the system of inequalities

y≤x and y≤−2, we need to check each option by substituting the values into the inequalities.

Let's evaluate each option:

A (−6,2)

2≤−6 (not true)

2≤−2 (true)

B (2,−4)

−4≤2 (true)

−4≤-2 (true)

C (1,4)

4≤1 (not true)

4≤−2 (not true)

D (-2, 4)

4≤−2 (not true)

4≤−2 (not true)

Option B, (2,−4), is the only ordered pair that satisfies both inequalities.