LINEAR INEQUALITIES
CONTENT
- Revision of linear inequalities in one variable.
- Solutions of inequalities in two variables.
- 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.
- NEW: Download the entire term's content in MS Word document format (1-year plan only)
- The complete lesson note and evaluation questions for this topic
- The complete lessons for the subject and class (First Term, Second Term & Third Term)
- Media-rich, interactive and gamified content
- End-of-lesson objective questions with detailed explanations to force mastery of content
- Simulated termly preparatory examination questions
- Discussion boards on all lessons and subjects
- Guaranteed learning