2. Furqan munir lodhi
bc141004
maju

3. Equations & Inequalities

4. Equation
Equation are the basic mathematical tool
for solving real-world problem
To solve the problem, we must know
how to construct equation that model
real-life situations.

5. equation
Linear Equation
Quadratic Equation
Polynomial equation

6. equation
Linear
Equation
Simultaneous
Equation for 2 x
2 system
Quadratic
Equation
Addition and
subtraction
Factorization
Completing the
square
Formulae
Substitution
Elimination

7. Linear equations
Addition and subtraction Multiplication and division

8. Factorization Formulae
Completing the square
If a = 1

9. Solving of quadratic equation
• By factoring
1. Solve the equation
Solution:
By completing the square
2. Solve the equation
Solution:

10. Simultaneous equation
• Simultaneous equation has two or more
equation that has similar set of solution.
Linear equation can be solved by using
substitution and elimination method.

11. SimultaneousEquationfor
2 x 2 system
Substitution Elimination

12. example

14. inequalities
• An inequality says that two values are not equal.
a ≠ b says that a is not equal to b
There are other special symbols that show in what way
things are not equal.
a < b says that a is less than b
a > b says that a is greater than b
(those two are known as strict inequality)
a ≤ b means that a is less than or equal to b
a ≥ b means that a is greater than or equal to b.

15. inequality
Inequalities
Absolute value
Linear
Inequality
Quadratic
Inequality

16. Inequalities
Linear Inequality Quadratic Inequality
Single Inequality Double Inequality

17. Absolutevalue
, 0
, 0
x if x
x
x if x

 
 
• Properties of absolute value
abbaiii
aaii
ai



)(
)(
0)(
• Absolute value equations
or x = -a with a is real number positive
axax 

18. Example :

19. Inequality
• Linear inequality with one variable

21. THE END
Please Do a Lot of Exercises
JUST REMEMBER: