Question

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

{6x+2y>7
7x−2y<16


(4, 4)

(1, −10)

(2, 4)

(−2, 0)

Answer 1

(2,4) is the correct answer

Explanation:

In order to solve two inequalities, we have to graph the two inequalities on the graph. We have used the online graphing calculator "Desmos' for this purpose.

When two inequalities are graphed, the area that is common in both inequalities is the solution of the system.

We have to observe the graph to check if given points are in solution set of the system.

In the given points, (2,4) lie in the solution set as indicated in the picture.

Hence,

(2,4) is the correct answer