Chapter SH, Problem 6.20EP

To determine

To graph the system of inequality

  

  

Answer to Problem 6.20EP

Graph:

  

Explanation of Solution

Given information:

  1)

  2)

Calculation:

Equation already are in slope intercept form

From equation(1)

Slope=2

Y-intercept: (0,-1)

Means 2 units change in y coordinate with respect to 1 unit change in x-coordinate

Put x=2 and y=3 in equation (3)

  

On solving,

  

Above expression is not true

Then graph will be down to line

  

From equation (4)

  

Slope=2

Means 2 units change in y- coordinate then 1 change in x-coordinate

Y-intercept: (0,4)

Put x=-2 and y=4 in equation (4)

Then,

  

On solving,

  true

Then graph will be

  

The graph of the system of equation

There is nothing common region between system of equation.