35 solve the following syste
wing system of inequalities graphically on the grid below and label the solution S.
3x + 4y > 20
x < 3y - 18
Is the point (3,7) in the solution set? Explain your answer.

Part A: The solution is

Part B: The point is not in the solution set.

Explanation:

Part A: The given inequalities are and

The solution can be determined by solving the two inequalities by substitution method.

Changing inequalities to equality, we have,

and

Let us substitute in the equation , we get,

Substituting in , we get,

Thus, the solution set is

Part B: Now, we shall determine whether the point is in the solution set.

Let us substitute the point in the inequalities and , we get,

Also, substituting in , we get,

Since, the point does not satisfy one of the inequality , the solution set does not contain the point

Thus, the point is not in the solution set.

answer: both chords and diameters have two endpoints on a circle. diameters must intersect the center of a circle.