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Which point is in the solution set of the given system of inequalities? (2, 0)(0, 2)(0, 3)(0, –1)

User DingHao
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1 Answer

5 votes

Final answer:

The point (2, 0) and (0, -1) are in the solution set of the given system of inequalities.

Step-by-step explanation:

The given system of inequalities is not provided in the question. However, if we assume that the system of inequalities is:

x >= 0

y <= 2

We can determine which point is in the solution set of the system by substituting the x and y values of each point into the inequalities.

Let's check each point:

(2, 0):

2 >= 0 is true (satisfies the first inequality)

0 <= 2 is true (satisfies the second inequality)

Therefore, (2, 0) is in the solution set of the given system of inequalities.

(0, 2):

0 >= 0 is true (satisfies the first inequality)

2 <= 2 is true (satisfies the second inequality)

Therefore, (0, 2) is in the solution set of the given system of inequalities.

(0, 3):

0 >= 0 is true (satisfies the first inequality)

3 <= 2 is false (does not satisfy the second inequality)

Therefore, (0, 3) is not in the solution set of the given system of inequalities.

(0, -1):

0 >= 0 is true (satisfies the first inequality)

-1 <= 2 is true (satisfies the second inequality)

Therefore, (0, -1) is in the solution set of the given system of inequalities.

User Gaurav Rastogi
by
9.2k points

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