Question
Are the following ordered pairs solutions to the inequality y >= -x + 3? Drag and drop each ordered pair into the appropriate column. (2 points) Yes, this is a

Are the following ordered pairs solutions to the inequality y >= -x + 3? Drag and drop each ordered pair into the appropriate column. (2 points) Yes, this is a solution. No, this is not a solution. (4, 1), (-7, 15), (0.3), (-6, -2)

Ask by Gross Cox.
Feb 06,2025 01:46

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Tutor-Verified Answer

Answer

(4, 1) and (-7, 15) are solutions. (-6, -2) is not a solution

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Beyond the Answer

To determine if the ordered pairs are solutions to the inequality y >= -x + 3, let’s plug in the x and y values of each pair into the inequality and check if they satisfy it.

For (4, 1):

-> Substitute x=4 and y=1

-> 1 >= -4 + 3

-> 1 >= -1

->True, yes, this is a solution.

For (-7, 15):

-> Substitute x=-7 and y=15

-> 15 >= 7 + 3

-> 15>=10

-> True, yes, this is a solution.

For (-6, -2):

-> Substitute x=-6 and y=-2

-> -2 >= 6 + 3

-> -2 >= 9

-> false, this is not a solution

Therefore, the columns will be filled as follows:

Yes, this is a solution: (4, 1), (-7,15)

No, this is not a solution: (-6,-2)

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