This preview shows pages 1–2. Sign up to view the full content.
Math 1300
Section 1.7 Notes
1
1.7 Solving Linear Inequalities
An inequality is similar to an equation except instead of an equal sign “=” you find one of
the following signs:
<,
≤
, >, or
≥
.
Now > and < are strict inequalities, and
≥
and
≤
are
inequalities that include equals (read these last two signs as ‘greater than or equal to’ and
‘less than or equal to,’ respectively).
The solutions will be different because a linear
equation has one, none, or many solutions.
A linear inequality has a solution that is over an
interval and the answers are in what is called
interval notation
.
This ensures that you have
the complete answer.
In this section, we will only be concerned with real number solutions.
Interval Notation:
Inequality
Interval Notation
A
x
<
( 29
A
,
∞

The rounded bracket means that A is not
included
A
x
≤
( ]
A
,
∞

The square bracket means that A is
included
B
x
( 29
∞
,
B
B
x
≥
[ 29
∞
,
B
B
x
A
<
<
( 29
B
A
,
B
x
A
≤
≤
[ ]
B
A
,
Intervals and the Number Line:
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
This is the end of the preview. Sign up
to
access the rest of the document.
 Spring '08
 Staff
 Math, Inequalities

Click to edit the document details