This is a free lesson from our course in Algebra I
In this lesson you'll learn the methods used for judging whether the statements
about 'linear, quadratic and absolute value equalities or inequalities' are 'sometimes, always or
never true'. As you'll see in this lesson, to judge the validity of a given statement, you can either give a counter
example, or you can make a general conclusion about values of the variables and
judge its validity that way.E.g. y = x^{2} + 4x + 4.
Statement: The value of y is always positive as y can be written as (x + 2)^{2} which is always positive. Given: y = x^{2} + 4x + 4
=> y = (x + 2)*(x + 2)
=> y = (x + 2)^{2}
So the given statement is always true.
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