equations & inequalities furqan m lodhi
TRANSCRIPT
Furqan munir lodhibc141004
maju
Equations & Inequalities
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.
equation
Linear Equation
Quadratic Equation Polynomial equation
equation
Linear Equation
Simultaneous Equation for 2 x
2 system
Quadratic Equation
Addition and subtraction
Factorization
Completing the square
Formulae
Substitution
Elimination
Linear equationsAddition and subtraction
Multiplication and division
Quadratic EquationFactorization Formulae
Completing the square
If a = 1
Solving of quadratic equation
• By factoring1. Solve the equation Solution:
By completing the square2. Solve the equation Solution:
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.
Simultaneous Equation for 2
x 2 systemSubstitution 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 special symbols that show in what way things are not equal.
a < b says that a is less than ba > 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 ba ≥ b means that a is greater than or equal to b.
inequality
Inequalities
Absolute value
Linear Inequality
Quadratic Inequality
Inequalities
Linear Inequality Quadratic Inequality
Single Inequality Double Inequality
Absolute value
, 0
, 0
x if xx
x if x
• Properties of absolute value
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aaii
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0 )(
• Absolute value equations
or x = -a with a is real number positive
axax
Example :
Inequality
• Linear inequality with one variable
THE ENDPlease Do a Lot of Exercises
JUST REMEMBER:
MATHS IS FUN