Which ordered pairs are solutions to the inequality 2x+y> −4? select each correct answer. (5, −12) (−3, 0) (−1, −1) (0, 1) (4, −12)

we will proceed to resolve each case to determine the solution

we have

we know that

If an ordered pair is the solution of the inequality, then it must satisfy the inequality.

case a)

Substitute the value of x and y in the inequality

------> is True

therefore

the ordered pair is a solution of the inequality

case b)

Substitute the value of x and y in the inequality

------> is False

therefore

the ordered pair is not a solution of the inequality

case c)

Substitute the value of x and y in the inequality

------> is True

therefore

the ordered pair is a solution of the inequality

case d)

Substitute the value of x and y in the inequality

------> is True

therefore

the ordered pair is a solution of the inequality

case e)

Substitute the value of x and y in the inequality

------> is False

therefore

the ordered pair is not a solution of the inequality

Verify

using a graphing tool

see the attached figure

the solution is the shaded  area above the line

The points A,C, and D lies on the shaded area, therefore the ordered pairs A,C, and D are solution of the inequality

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step-by-step explanation: