Inequalities_Absolute_Lines - COORDINATES, GRAPHS AND LINES...

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COORDINATES, GRAPHS AND LINES 1 CHAPTER 1 COORDINATES, GRAPHS AND LINES 1.1 INEQUALITIES OF REAL NUMBER AND ITS INTERVALS Linear Inequality, Non Linear Inequality and Absolute Value 1.2 COORDINATE GEOMETRY AND LINES Distance between two points, Mid Point, Gradient of a straight line, Parallel Line and Perpendicular Line.
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COORDINATES, GRAPHS AND LINES 2 1.1 INEQUALITIES OF REAL NUMBER AND ITS INTERVALS LINEAR INEQUALITY Lets x, a, b, c and d are real number, x < a or x less than a x ± b or x less than and equal to b x > c or x greater than c x ² d or x greater than and equal to d Inequality Interval set Interval line Example 1 a < x < b x = ( a , b ) a b NONLINEAR INEQUALITY Look at this nonlinear inequality: 0 ) )( ( ) ( < - - - c x b x a x The critical points are x = a, x = b and x = c. If x = b or x = c, the inequalities become ³ “ which is not exist. To make it exist, x ´ b and x ´ c. In this case we have another method to solve the problems. Example 2
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Inequalities_Absolute_Lines - COORDINATES, GRAPHS AND LINES...

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