SS2 Second Term Mathematics Lesson Note – Linear Inequalities

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WEEK 2

TOPIC: LINEAR INEQUALITIES

CONTENT:

• Revision of linear inequalities in one variable.
• Solutions of inequalities in two variables.
• Range of values of combined inequalities

INTRODUCTION

Number line can be used to show the graph of inequalities in one variable. Symbols commonly used for inequalities include;

• < means less than
• > means greater than
• ≥ greater than or equal to
• ≤ less than or equal to

Steps taken in solving inequalities is similar to that of equations with few exceptions such as

Reversing the inequality sign when both sides are multiplied (or divided) by negative quantity.  i.e if 2 < 5 then -2 > -5

Reversing the inequality sign when reciprocals are taken

i.e if ²/₃>¹/₂     then ³/₂<²/₁

Examples;

solve 2x+1<x+5

solution;

2x-x<5-1

x<4

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