Chapter ISG, Problem 5.6.2P

To determine

To solve inequality and graph its solution.

  

Explanation of Solution

Given information:

Inequality is,

  

Graph:

  

Calculation:

  

Write in slope intercept form

  ___________(1)

Ordinary line

  ___________(2)

Y-intercept: (0,-2)

Slope= $-3$

Substituting x=0in equation (2)

Then, y=-2

Substituting y=0 in equation (2)

Then, $x=\frac{-2}{3}$

Table of x and y is given below

x	y
$\frac{-2}{3}$	0
0	-2

The graph of ordinary equation

  

For finding region,

Point (0,0) is above line

Substituting value of point (0,0) in inequality equation (1)

  

On solving,

  $0\ge 4$ is true

Point (-2,-2) is below line

Substituting value of point (-2,-2) in inequality equation (1)

  

On solving,

  

This is not true

Then region is above line

Hence, the graph of inequality is given below

  

Solution set: {(0,0) , (0,-2) , (2,2)}