Question

Find the solution to the system of inequalities 2x+3y<18 and -4x-4y<8

Answer 1

To solve the system of inequalities 2x+3y<18 and -4x-4y<8, graph each inequality and find the overlapping region.

Step-by-step explanation:

To find the solution to the system of inequalities 2x+3y<18 and -4x-4y<8, we can solve each inequality separately and then find the region where the solutions overlap.

1. For the inequality 2x+3y<18, we can graph the line 2x+3y=18 and shade the region below the line.
2. For the inequality -4x-4y<8, we can graph the line -4x-4y=8 and shade the region below the line.
3. The region where the shaded regions overlap represents the solution to the system of inequalities.

Answer 2

The solution in the attached figure

Step-by-step explanation:

we have

`2x+3y<18` ----> inequality A

`-4x-4y<8` ----> inequality B

Using a graphing tool

The solution is the shaded area between the dashed lines

see the attached figure