1. Solving Linear Inequalities in One Unknown

2. Linear Inequalities in One Unknown
If an inequality contains only one unknown and its index is 1, then the inequality is called a linear inequality in one unknown.

3. Solving Linear Inequalities in One Unknown
The techniques involved are similar to those in solving linear equations.
Equation
Inequality 1 3 2 = - x 1 3 2
> - x 3 1 2 + = - x 3 1 2 +
> - x
Add 3 to both sides. 4 2 = x 4 2
> x 2 4 = x 2 4
> x
Divide both sides by 2. 2 = x 2
> x

4. :
graphically 1 3 2 of
solution
the
represent
also
can We
> - x

5. Follow-up question
Solve the following inequalities and represent the solutions graphically.
Subtract 1 from both sides.
Divide both sides by 3. 2

6. Follow-up question (cont’d)
Solve the following inequalities and represent the solutions graphically.
Subtract 4 from both sides.
Divide both sides by –5. 4 -