Linear Inequalities

1. LINEAR
INEQUALITIES

2. REVIEW

3. WHO AM I?

4. ACTIVITY

5. The worst form of
inequality is to try to make
unequal things equal. “
- Aristotle

6. LINEAR INEQUALITY
- A mathematical statement
that makes use of inequality
symbols such as <, >, ≤ and
≥.

7. LINEAR INEQUALITY
- It is an inequality that can
be written in one of the
following forms:

8. LINEAR INEQUALITY
Ax + By < C Ax + By ≤
C
Ax + By > C Ax + By ≥

9. LINEAR INEQUALITY
In equality, the relational
symbols are <, >, ≤ and ≥
where;

10. LINEAR INEQUALITY
< - less than
> - greater than
≤ - less than or equal to
≥ - greater than or equal to

11. EXAMPLES:
4x – y > 1 8x – 3y ≥ 14
x + 5y ≤ 9 y ≤ 6x + 11
3x + 7y < 2 2y > 8x - 4

12. LINEAR
INEQUALITY
•10x + 7y < 15
•2x + 4y < 12
•3x – 2y ≤ 8
•3x + 2y > 12
LINEAR
EQUATION
•3x + 4y = 12
•y = 2x + 5
•2x – 4y = - 2
•x + y = 5