Equations & inequalities furqan m lodhi
Transcript of Equations & inequalities furqan m lodhi
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Furqan munir lodhibc141004
maju
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Equations & Inequalities
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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.
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equation
Linear Equation
Quadratic Equation Polynomial equation
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equation
Linear Equation
Simultaneous Equation for 2 x
2 system
Quadratic Equation
Addition and subtraction
Factorization
Completing the square
Formulae
Substitution
Elimination
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Linear equationsAddition and subtraction
Multiplication and division
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Quadratic EquationFactorization Formulae
Completing the square
If a = 1
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Solving of quadratic equation
• By factoring1. Solve the equation Solution:
By completing the square2. Solve the equation Solution:
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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.
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Simultaneous Equation for 2
x 2 systemSubstitution Elimination
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example
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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.
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inequality
Inequalities
Absolute value
Linear Inequality
Quadratic Inequality
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Inequalities
Linear Inequality Quadratic Inequality
Single Inequality Double Inequality
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Absolute value
, 0
, 0
x if xx
x if x
• Properties of absolute value
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• Absolute value equations
or x = -a with a is real number positive
axax
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Example :
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Inequality
• Linear inequality with one variable
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THE ENDPlease Do a Lot of Exercises
JUST REMEMBER:
MATHS IS FUN