Solving Linear Inequalities
Consider the inequality:
Solve by following these steps:
1. Remove the brackets.
2. Remove the parentheses.
3. Remove the denominators.
4. Group the terms of x to one side of the inequality and the independent terms to the other.
5. Calculate:
6.Because the coefficient of x is negative, multiply by −1 so that it will change the sense of the inequality.
7. Work out the value of the unknown.
8.The solution is an inequality, but it can also be expressed:
Graphically:
As an interval:
[3, +∞)
Examples
1
(1, ∞)
2
3
