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LINEAR INEQUALITIES IN ONE VARIABLE

ClassNotes Team 4 MIN READUPDATED 14 JUN 2026

FURTHER MATHEMATICS SSS1 SECOND TERM

WEEK 3

LINEAR INEQUALITIES

Content

  1. Linear & Analytical Solutions of Linear Inequalities in One Variable
  2. Quadratic Inequalities in One Variable
  3. Absolute Values

 

LINEAR INEQUALITIES IN ONE VARIABLE

Most of the rules for solving linear inequalities in one variable are similar to those for solving a linear equation in one variable with exception of the rules on  multiplication and division by the negative numbers which reverse the sense of the inequality

EXAMPLE: Find the solution set of each of the following inequalities and represent them graphically

(a) 2x – 3 < x + 7 (b) 3x  + 4 > 1 – 2x

Solution

  1. 2x – 3 < x + 7

Adding 3 to both…