217,127 views
27 votes
27 votes
Solve the system of two linear inequalities graphically.Sy < -2x + 3y > 6x – 9Step 1 of 3: Graph the solution set of the first linear inequality.

User London Student
by
2.5k points

1 Answer

7 votes
7 votes

The red graph represents y < -2x + 3

The blue graph represents y > 6x - 9

The solutions of the system of inequalities lie on the red-blue shaded

The part which has two colors

Since the first inequality is y < -2x + 3, the shaded is under the line

Since the second inequality is y > 6x - 9, the shaded is over the line

The common shaded of the two colors represents the area of the solutions of the 2 inequalities

The type of boundary lines is dashed

The points on the boundary lines are

For the red line (0, 3) and (4, 0)

For the blue line (0, -9) and (1, -3)

There is a common point on the two lines (1.5, 0)

Solve the system of two linear inequalities graphically.Sy < -2x + 3y > 6x – 9Step-example-1
User Russ Cox
by
2.6k points