| If the power of the pronumeral in an inequality is one,
then it is said to be a linear inequality.
Subtracting a Number from Each Side of an Inequality
A number can be subtracted from each side of an inequality as
illustrated below.
If you put 10 kilograms in one of a pair of scales and add 6 kilograms
to the other, the scales
will show that 10 kg is heavier than 6 kg.
Take 2 kg away from each side
In general:
Subtracting the same number from both sides of an inequality does not
change the inequality's sign.
Example 21
Solution:
Note:
(i) The solution set consists of all numbers greater than 4, and
is shown on the number line as follows:
The ring at 4 in this diagram means that 4 is not an element of the
solution set.
Example 22
Solution:
Note:
(i) The solution set consists of all numbers less than or equal
to –2,
as shown on the following number line.
The solid dot at –2
in the diagram means that –2 is an element of the solution set.
Key Terms
linear inequality
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