Question

Which of the points is not one of the vertices (s, t) of the shaded region of the

set of inequalities shown below?
O A. (15,0)
OB. (7.5,0)
OC. (22.5, 2.5)
OD. (7.5., 7.5)
s≤30-3t
$215-t
$≤25-t
s20

Answer 1

After testing each point against the set of inequalities, it's found that Point B: (7.5,0) does not satisfy all of them and thus is not a vertex of the shaded region.

Step-by-step explanation:

The question is asking us to determine which of the given points is not a vertex of the shaded region defined by a set of inequalities. Given the inequalities and points, we can test each point against the inequalities to see if it satisfies them all. The inequalities are:

• s ≤ 30 - 3t
• s ≥ 15 - t
• s ≤ 25 - t
• s ≥ 20

Now, let's plug each of the points (s, t) into the inequalities to check which one does not satisfy all of them:

• Point A: (15,0) satisfies all inequalities.
• Point B: (7.5,0) does not satisfy the inequality s ≥ 20, making it the point that is not a vertex of the shaded region.
• Point C: (22.5, 2.5) satisfies all inequalities.
• Point D: (7.5, 7.5) satisfies all inequalities.

Therefore, the answer is Point B: (7.5, 0).