compare two quantities and often involve one or more . A solution of an inequality
value of the variable that makes the inequality true. As an example, consider the following inequality.
Notice that if
is substituted for
in the inequality, the inequality holds true. Therefore, it can be said that
is a solution to the given inequality.
However, this is not the only value that makes the inequality true. There are other
that make it true. The of all possible values that satisfy an inequality is the solution set of an inequality
. The solution set can be determined by applying the to isolate the variable on one side of the inequality.
Lastly, the solution set of the inequality can be represented using .
It is worth noting that the solution set of a in one variable can also be represented using a .