Question

Which point is in the graphed solution set of this system of inequalities?

{ 3x + 2y ≤ 4 }

A. (2, 6)
B. (-2, 2)
C. (6, 0)
D. (3, -2)

Answer 1

To determine which point is in the graphed solution set of the system of inequalities, substitute the x and y coordinates of each point into the inequality and check if the inequality is satisfied. The only point in the graphed solution set is D (3, -2).

Step-by-step explanation:

To determine which point is in the graphed solution set of the system of inequalities, we need to substitute the x and y coordinates of each point into the inequality and check if the inequality is satisfied.

Taking the point A (2, 6) as an example, we substitute the values into the inequality:

3(2) + 2(6) ≤ 4

6 + 12 ≤ 4

18 ≤ 4

Since 18 is not less than or equal to 4, point A (2, 6) is not in the solution set.

Similarly, we can check the other points and find that the only point in the graphed solution set is D (3, -2).