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18 votes
18 votes
Which of these ordered pairs is NOT a solution to this system

Which of these ordered pairs is NOT a solution to this system-example-1
User Alexander Paramonov
by
2.6k points

1 Answer

14 votes
14 votes

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

User Arvin
by
2.7k points