Game Development Reference
In-Depth Information
Figure 5.5
Open circles exclude values while closed circles include them.
When you work with equations that deal with inequalities, you solve them in
largely the same way you solve equations that involve equalities, but a few dif-
ferences apply. Subsequent sections discuss these differences in detail.
Addition and Subtraction of Values
When you add values to both sides of an equation that involves inequalities, you
do not alter the relation of the inequality between the two expressions. In other
words, the relations
a
<
b
and
a b
remain the same if you extend them through addition:
a þ c
<
b þ c
and
a þ c b þ c
Likewise, the relations
a
>
b
and
a b
