The ordered pair (-2,-4) is a solution of y ≤ x + 2, y ≥ x - 3.
What is inequality?
Inequality, In mathematics, a statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.
Given
Ordered pair (-2, -4)
Substitute x = -2 and y = -4 into y ≤ x + 2
-4 ≤ -2 + 2
-4 ≤ 0
L.H.S = -4
R.H.S = 0
Substitute x = -2 and y = -4 into y ≥ x - 3
-4 ≥ -2 - 3
-4 ≥ -5
L.H.S = -4
R.H.S = -5
-4 ≤ 0
-4 ≥ -5
Above inequalities are true.
The ordered pair (-2,-4) is a solution of y ≤ x + 2, y ≥ x - 3.
Option D is correct.
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