Chapter ISG, Problem 5.6.3P

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)

  $slope=\frac{2}{3}$

Substituting x=0in equation (2)

Then, y=2

Substituting y=0in equation (2)

Then, x=-3

Table of x and y is given below

x	y
-3	0
0	2

The graph of ordinary equation

  

For Finding region,

Point (-1,2) is above line

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

  

On solving,

  is true

Point (0,0) is below line

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

  

On solving,

  

This is not true

Then region is above line

The graph of inequality is given below

  

Solution set: {(-1,2) , (-4,2) , (-4,4)}