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Which ordered pair is a solution of y > x + 5?

Which ordered pair is a solution of y > x + 5?-example-1
User Adena
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1 Answer

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Answer: Choice A. (2,8)

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Step-by-step explanation:

Refer to the graph below. The blue shaded region is above the dashed boundary line y = x+5. We shade above because of the "greater than". The boundary is a dashed line because there isn't any "or equal to" portion.

Points on the boundary do not count as solutions. So we ignore B and C. Point A on the other hand is in the shaded region. Plugging the coordinates of this point into the inequality leads to a true statement.

y > x+5

8 > 2+5

8 > 7

This algebraically confirms choice A is the answer.

In contrast, something like point D is a non-answer because

y > x+5

-5 > 0+5

-5 > 5

which is false because -5 is smaller than 5.

Which ordered pair is a solution of y > x + 5?-example-1
User Folarin
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