5­4 Solving Compound Inequalities.notebook
5­4 Solving Compound Inequalities
Goals:
November 08, 2014
Two inequalities considered together at one time compound inequality
are called __________________.
1. Solve compound inequalities containing the word and, and graph their solution set.
2. Solve compound inequalities containing the word or, and graph their solution set.
A compound inequality containing and is only both inequalities are true
true if _____________________.
The graph of a compound inequality is where the two inequalities ___________.
overlap
intersection
This is called the ___________ of the two graphs.
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5­4 Solving Compound Inequalities.notebook
November 08, 2014
Solve the compound inequality.
y ­ 3 > ­11 and y ­3 < ­8
{y I ­8 < y < ­5}
Graph the solution set.
Solve the compound inequality.
6 < r +7 <10
{r I ­1 < r < 3}
A compound inequality containing or is at least one
true if ___________ of the inequalities is true.
Its graph is the union of the graphs of two inequalities.
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5­4 Solving Compound Inequalities.notebook
November 08, 2014
When solving problems involving inequalities, within is meant to be inclusive.
within: use > or <
When solving problems involving inequalities, between is meant to be exclusive.
between: use < or >
A company is manufacturing an action figure that must be at least 11.2 centimeters and at most 11.4 centimeters tall. Write and graph a compound inequality that describes how tall the action figure can be.
Solve the compound inequality: a + 1 < 4 or a ­ 1 > 3 {a I a< 3 or a> 4}
Graph the solution set.
­10
­9
­8
­7
­6
­5 ­4
­3
­2
­1
0
1
2
3
4
5
6
7
8
9
10
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5­4 Solving Compound Inequalities.notebook
Solve the compound inequality: x <9 or 2+ 4x < 10
{x I x<9}
November 08, 2014
5­4 Assignment
Page 308: 6­11, 1­23 odd, 29­33 odd
Graph the solution set.
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