Answer:
C
Explanation:
to determine which ordered pair is not a solution , substitute the coordinates of the point into the inequalities and check the validity. Note that both inequalities must be true for the point to be a solution.
A (- 3, 3 )
3 ≥ - 3 - 5
3 ≥ - 8 ← true
3(3) < - 6(- 3) + 3
9 < 18 + 3
9 < 21 ← true
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B ( - 1, 2 )
2 ≥ - 1 - 5
2 ≥ - 6 ← true
3(2) < - 6(- 1) + 3
6 < 6 + 3
6 < 9 ← true
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C (4, 5 )
5 ≥ 4 - 5
5 ≥ - 1 ← true
3(5) < - 6(4) + 3
15 < - 24 + 3
15 < - 21 ← false
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D (- 6, 0 )
0 ≥ - 6 - 5
0 ≥ - 11 ← true
3(0) < - 6(- 6) + 3
0 < 36 + 3
0 < 39 ← true
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Both inequalities are true in A, B , D
Both inequalities in C are not true so (4, 5 ) is not a solution to the system