# The ordered pair (4,2) is a solution to the system of inequalities below.?

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y>3x+2

y<-2x+1

True or False

y<-2x+1

True or False

Best Answer

y > 3x + 2

2 > 3(4) + 2

2 > 12 + 2

2 > 14

y < -2x + 1

2 < -2(4) + 1

2 < -8 + 1

2 < -7

When you substitute the ordered pair back into the inequalities, neither come out as true. So the ordered pair is not a solution to the system. Only if both inequalities came out as true would the ordered pair be a solution.

False

2 > 3(4) + 2

2 > 12 + 2

2 > 14

y < -2x + 1

2 < -2(4) + 1

2 < -8 + 1

2 < -7

When you substitute the ordered pair back into the inequalities, neither come out as true. So the ordered pair is not a solution to the system. Only if both inequalities came out as true would the ordered pair be a solution.

False

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