The graph below is represented by which system of inequalities?

Question

 -x + 3y < 9

y > -2x + 1 

Answer 1

The system of inequalities are .

Therefore system of equalities are .

For ease of graphing, write each equation in slope - intercept form.

Equation 1 : .

1. Draw a coordinate plane.

2. Since the symbol of inequality is , the boundary is not included in the solution set. Graph the boundary of the equality with dashed line.

3. Since the symbol of inequality is , the boundary is not included in the solution set. Graph the boundary of the equality with dashed line.

4. The graph of is shaded with teal color and the graph of is shaded with fuchsia color.

5. The solution of the system is the set of ordered pairs in the intersection of the graph of . This region is shaded in light purple color.

6. CHECK : Choose a point in the light purple color region, such as (2, 2). To check this solution, substitute 2 for x and 2 for y into each inequality.

The graph of inequalities is