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  • Solving quadratic inequalities in one variable

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    • Solving quadratic inequalities in one variable calculator.

    Solving Quadratic Inequalities

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    Quadratic

    A Quadratic Equation (in Standard Form) looks like:


    A Quadratic Equation in Standard Form
    (a, b, and c can have any value, except that a can't be 0.)

     

    The above is an equation (=) but sometimes we need to solve inequalities like these:

    Symbol

    		 

    Words

    		 

    Example






    >

    		 

    greater than

    		 

    x2 + 3x > 2

    <

    		 

    less than

    		 

    7x2 < 28

    ≥

    		 

    greater than or equal to

    		 

    5 ≥ x2 − x

    ≤

    		 

    less than or equal to

    		 

    2y2 + 1 ≤ 7y

    Solving

    Solving inequalities is very like solving equations ...

    we do most of the same things.

    When solving equations we try to find points,
    such as the ones marked "=0"
    But when solving inequalities we try to find interval(s),
    such as the ones marked ">0" or "<0"

    So this is what we do:

    • find the "=0" points
    • in between the "=0" points, are intervals that are either
      • greater than zero (>0), or
      • les

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