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)
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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)