Question

Which ordered pair is a solution to the linear inequality given below? Use the graph to determine.

3x+4y=20
A. (-5, 1)
B. (0, 3)
C. (-4,-2)
D. (2,7)

Answer 1

To determine the solution to the linear inequality 3x+4y=20, substitute the given coordinates into the equation and check if the resulting inequality is true. The ordered pair (-4, -2) is the solution.

Step-by-step explanation:

To determine which ordered pair is a solution to the linear inequality 3x+4y=20, we can substitute the given coordinates into the equation and check if the resulting inequality is true. Let's check each option:

1. Option A: (-5, 1)
   If we substitute x = -5 and y = 1 into the equation, we get: 3(-5) + 4(1) = -15 + 4 = -11, which is not equal to 20. Therefore, (-5, 1) is not a solution.
2. Option B: (0, 3)
   Substituting x = 0 and y = 3 into the equation, we have: 3(0) + 4(3) = 0 + 12 = 12, which is not equal to 20. Hence, (0, 3) is not a solution.
3. Option C: (-4, -2)
   If we substitute x = -4 and y = -2 into the equation, we get: 3(-4) + 4(-2) = -12 - 8 = -20, which is equal to 20. Therefore, (-4, -2) is a solution.
4. Option D: (2, 7)
   Substituting x = 2 and y = 7 into the equation, we have: 3(2) + 4(7) = 6 + 28 = 34, which is not equal to 20. Thus, (2, 7) is not a solution.

Based on our calculations, the ordered pair (-4, -2) is the solution to the linear inequality 3x+4y=20. Therefore, the correct answer is

Option C: (-4, -2)

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