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4 years ago

Determine whether the point (3,3) is in the solution set of the system of inequalities below.

Mathematics

1 answer:

Radda [10]4 years ago

3 0

Answer:

The ordered pair is not a solution of the system D

explanation:

y < -3

y ≤ 2/3x - 4

y > -3

y ≥ 2/3x - 4

y < -3

y ≥ 2/3x - 4

y > -2

y ≤ 2/3x - 4

we know that

If a ordered pair is a solution of the system of inequalities, then the ordered pair must satisfy both inequalities (makes true both inequalities)

Verify each case

Case A) we have

----> inequality A

----> inequality B

Substitute the value of x and y of the point (3,-2) in both inequalities and then compare the results

Inequality A

----> is not true

therefore

The ordered pair is not a solution of the system A

Case B) we have

----> inequality A

----> inequality B

Substitute the value of x and y of the point (3,-2) in both inequalities and then compare the results

Inequality A

----> is true

Inequality B

----> is true

therefore

The ordered pair is a solution of the system B

Case C) we have

----> inequality A

----> inequality B

Substitute the value of x and y of the point (3,-2) in both inequalities and then compare the results

Inequality A

----> is not true

therefore

The ordered pair is not a solution of the system C

Case D) we have

y > -2 ----> inequality A

----> inequality B

Substitute the value of x and y of the point (3,-2) in both inequalities and then compare the results

Inequality A

----> is not true

therefore

The ordered pair is not a solution of the system D

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