Furqan munir lodhi
bc141004
maju
Equations & Inequalities
Equation
Equation are the basic mathematical tool
for solving real-world problem
To solve the problem, we must know
how ...
equation
Linear Equation
Quadratic Equation
Polynomial equation
equation
Linear
Equation
Simultaneous
Equation for 2 x
2 system
Quadratic
Equation
Addition and
subtraction
Factorization
...
Linear equations
Addition and subtraction Multiplication and division
Factorization Formulae
Completing the square
If a = 1
Solving of quadratic equation
• By factoring
1. Solve the equation
Solution:
By completing the square
2. Solve the equatio...
Simultaneous equation
• Simultaneous equation has two or more
equation that has similar set of solution.
Linear equation c...
SimultaneousEquationfor
2 x 2 system
Substitution Elimination
example
inequalities
• An inequality says that two values are not equal.
a ≠ b says that a is not equal to b
There are other speci...
inequality
Inequalities
Absolute value
Linear
Inequality
Quadratic
Inequality
Inequalities
Linear Inequality Quadratic Inequality
Single Inequality Double Inequality
Absolutevalue
, 0
, 0
x if x
x
x if x

 
 
• Properties of absolute value
abbaiii
aaii
ai



)(
)(
0)(
• Abso...
Example :
Inequality
• Linear inequality with one variable
THE END
Please Do a Lot of Exercises
JUST REMEMBER:
Equations & inequalities furqan m lodhi
Equations & inequalities furqan m lodhi
Equations & inequalities furqan m lodhi
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Equations & inequalities furqan m lodhi

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Equations & inequalities furqan m lodhi

  1. 1. Furqan munir lodhi bc141004 maju
  2. 2. Equations & Inequalities
  3. 3. 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.
  4. 4. equation Linear Equation Quadratic Equation Polynomial equation
  5. 5. equation Linear Equation Simultaneous Equation for 2 x 2 system Quadratic Equation Addition and subtraction Factorization Completing the square Formulae Substitution Elimination
  6. 6. Linear equations Addition and subtraction Multiplication and division
  7. 7. Factorization Formulae Completing the square If a = 1
  8. 8. Solving of quadratic equation • By factoring 1. Solve the equation Solution: By completing the square 2. Solve the equation Solution:
  9. 9. 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.
  10. 10. SimultaneousEquationfor 2 x 2 system Substitution Elimination
  11. 11. example
  12. 12. 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.
  13. 13. inequality Inequalities Absolute value Linear Inequality Quadratic Inequality
  14. 14. Inequalities Linear Inequality Quadratic Inequality Single Inequality Double Inequality
  15. 15. 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 
  16. 16. Example :
  17. 17. Inequality • Linear inequality with one variable
  18. 18. THE END Please Do a Lot of Exercises JUST REMEMBER:

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