Which system of linear inequalities has the point (3, –2) in its solution set?
Asked by wiki @ in Mathematics viewed by 707 People
A.y < -3
y ≤ 2/3x - 4
B.y > -3
y ≥ 2/3x - 4
C.y < -3
y ≥ 2/3x - 4
D.y > -2
y ≤ 2/3x - 4
Answered by wiki @
Answer:
Option B.
Step-by-step explanation:
we know that
If a ordered pair is a solution of the system of inequalities
then
the ordered pair must satisfy both inequalities of the system
Verify each case
Case A) we have
The point (3,-2)
Substitute the value of x and the value of y in both inequalities and then compare the results
Inequality 1
----> is not true
therefore
The ordered pair is not a solution of the system A
Case B) we have
The point (3,-2)
Substitute the value of x and the value of y in both inequalities and then compare the results
Inequality 1
----> is true
Inequality 2
----> is true
therefore
The ordered pair is a solution of the system B
Case C) we have
The point (3,-2)
Substitute the value of x and the value of y in both inequalities and then compare the results
Inequality 1
----> is not true
therefore
The ordered pair is not a solution of the system C
Case D) we have
The point (3,-2)
Substitute the value of x and the value of y in both inequalities and then compare the results
Inequality 1
----> is not true
therefore
The ordered pair is not a solution of the system D
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