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Section
9.4 Inequalities and Absolute Value
(Examples provided by Prentice
Hall)
Part I: Conjunctions and Inequalities
Solve and graph.
| Example
1 |
|
Solve
and graph | x| < 5.
– 5 < x < 5. Open circles at – 5 and 5 with
line joining the two circles. |
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| Example
2 |
Solve
and graph |2x| < 6.
–6 < 2x < 6
–6 < 2x and 2x
< 6
–3 <
x
and x <
3
Solid circles at –3 and 3 with line joining the two circles. |
|
| Example
3 |
Solve
and graph | x – 3| < 4.
–4 < x – 3 and x
– 3 <
4
-1 <
x and x <
7
Solid circles at -1 and 7 with line joining the two circles. |
Part II: Disjunctions and Inequalities
Solve and graph.
| Example
1 |
|
Graph
| x| > 0.
x < –0 or x > 0
x < 0 or x > 0
Open circle at 0 with arrows pointing both left and right. |
|
| Example
2 |
Solve
and graph |3x| > 15.
3x > 15 or 3x < –15
x > 5 or x < –5
Open circle at –5 with arrow pointing left. Open circle at 5
with arrow pointing right. |
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| Example
3 |
Solve
and graph |2x – 4| > 6.
2x – 4 > 6 or 2x –
4 < –6
2x > 10 or 2x < -2
x > 5 or x < -1
Open circle at -1 with arrow pointing left. Open circle at 5
with arrow pointing right. |
Take class notes.
Before starting your homework, rework the
examples that are illustrated in this section of your textbook and the
examples that I demonstrated in class.
Then do your homework.
Write down questions (examples or concept
that you do not understand).......then.............. Ask these questions
in class.
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