Question

Which graph represents the solution to this system of inequalities? x + y < 4 2x − 3y ≥ 12

Answer 1

The graph that represents the solution to the system of inequalities x + y < 4 and 2x − 3y ≥ 12 is (b) in Figure 12.4.

Step-by-step explanation:

The solution to the system of inequalities x + y < 4 and 2x − 3y ≥ 12 can be found by graphing the inequalities on the same coordinate plane and identifying the shaded region that satisfies both inequalities.

To graph x + y < 4, we first graph the line x + y = 4. Since the inequality is < (less than), the line will be dashed. Then, we shade the region below the line to represent values that satisfy the inequality.

Next, to graph 2x − 3y ≥ 12, we graph the line 2x − 3y = 12. Since the inequality is ≥ (greater than or equal to), the line will be solid. Then, we shade the region above the line to represent values that satisfy the inequality.

The region that is shaded by both inequalities is the solution to the system of inequalities. The correct graph representation of the solution would be (b) in Figure 12.4, where one line slopes upward to the right and the other line is horizontal.

Answer 2

Answer: x=y<4 2x-3y(underline >) 12

graph each inequality y<4-x this is a dotted line that goes through Y 4 and X 4 shade below that dotted line.

next graph y (underline < )-4+2x/3

This is a solid line that goes through y -4 and x 6 shade below that line.

above 5y and 5x should be clear in a v shape .

Step-by-step explanation:

I but both equations in and graphed them to get answer. Answer was option A for me