FURTHER MATHEMATICS SSS1 SECOND TERM

WEEK 4

LINEAR INEQUALITY II

Content

5. Linear Inequalities in Two Variables by Graphical Method.
5. Graphical Solution of Simultaneous Linear Inequalities in Two Variables.
5. Linear Programming

GRAPHICAL SOLUTION OF INEQUALITIES IN TWO VARIABLES

A straight line has the general equation ax+by+c=0, where a,b and c are real numbers.

 

The line ax + by + c =0 partitions the x-y plane into two regions

Worked Examples

1)   Show the region representing 2x + y + 1 > 0

    Solution

2x + y + 1 > 0

Steps

1.  make y the subject of the inequality
2.  convert the inequality into a line equation
3.  obtain the x and y co ordinates of the line
4.  draw the line and…