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Back Inequalities | Up Introduction to Mathematics and Algebra | Next Linear equations in two variables |
GRAPHING INEQUALITIES
An inequation such as x > 2 can be graphed on
a number line, as shown in figure 11-2. The
heavy line in figure 11-2 contains all values
of x which comprise the solution set. Notice
that this line continues indefinitely in the
positive direction as indicated by the arrow head.
Notice also that the point representing x = 2
is designated by a circle. This signifies that
the solution set does not contain the number 2.
Figure 11-3 is a graph of the inequation x2
> 4. Since the square of any number greater than
2 is greater than 4, the solution set contains all values of x greater than 2.
Further less than -2. This is because the
square of any negative number smaller than -2
is a positive number greater than 4.
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