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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: