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LINEAR INEQUALITIES

CONTENT

  1. Revision of linear inequalities in one variable.
  2. Solutions of inequalities in two variables.
  3. Range of values of combined inequalities

 

INTRODUCTION

A 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

means greater than or equal to

means less than or equal to

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

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

(ii) Reversing the inequality sign when reciprocals are taken

i.e. if \(\frac{2}{3} > \frac{1}{2}\) then \(\frac{3}{2} < \frac{2}{1}\)

Examples:

1. Solve \(2x + 1 < x + 5\)

Solution:

\(2x -x < 5 -1 \\ x < 4\)

Notice that the right end point \(x = 4\) is not part of the solution so the circle above is not shaded.

Lesson tags: General Mathematics Lesson Notes, General Mathematics Objective Questions, SS2 General Mathematics, SS2 General Mathematics Evaluation Questions, SS2 General Mathematics Evaluation Questions Second Term, SS2 General Mathematics Objective Questions, SS2 General Mathematics Objective Questions Second Term, SS2 General Mathematics Second Term
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