Which ordered pair is a solution of y > x + 5?
1 answer:
<h3>Answer: Choice A. (2,8)</h3>
==========================================================
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.
You might be interested in