LINEAR INEQUALITIES
At the end of the lesson, you should be able to:
Illustrate the Solution Set of linear inequalities;
Solve linear inequalities:
Solve problems involving linear inequalities
INEQUALITY
States that two expressions are not equal. The Solution set of an inequality can be illustrated in a number line and can be written in set-builder and interval notations.
Inequality Symbols | |
Symbols | Meaning |
≠ | Is not equal to |
> | Is greater than |
Is less than | |
≥ | Is greater than or equal to |
≤ | Is less than or equal to |
GRAPHING INEQUALITIES
Graph | Interval Notation | |
> , | Open circle | ( ) |
≥ , ≤ | Shaded circle | [ ] |
SOLUTION SET
A solution set is a set of numbers wherein each element, when substituted for the variables, results in a true inequality. The solution set of any inequality can be illustrated on a number line.
The graph has a small open circle at 4 to indicate that 4 is not included.
Translation: The set of numbers greater than 4.
Solution set: All real numbers greater than 4.
Interval Notation: (4, ∞)
Watch the video to clearly understand.
