6.3 Day 1 Compound Inequalities
Solve the inequality:
1.)
September 19, 2016
warm up
2.)
3.)
Sep 18­9:44 AM
6.3 solving compound inequalities
day 1
1.
Learning Targets
Solve and graph the solution set of linear inequalities including
compound inequalities on a number line.
Sep 17­10:16 PM
1
6.3 Day 1 Compound Inequalities
September 19, 2016
Compound Inequality:
• Consists of two inequalities connect by "and" or "or"
Sep 17­10:22 PM
OR Inequalities:
• Can solve each part separately.
• A solution of this inequality is a solution of either of its simple
parts.
All real numbers that are less than ­1 or greater than 2.
OR
­3
­2
­1
0
1
2
3
4
Sep 18­8:35 AM
2
6.3 Day 1 Compound Inequalities
September 19, 2016
AND Inequalities:
• Isolate the variable that is found in between the two inequality
symbols
• A solution of this inequality is a solution of both of its simple
parts
All real numbers that are greater than zero and less than or equal to 4.
­2
­1
0
1
2
3
4
5
6
Sep 18­8:33 AM
Example 1: Write an inequality that represents the set of numbers and sketch
the graph.
All real numbers that are greater than or equal to ­2 and less than 3.
Sep 18­9:49 AM
3
6.3 Day 1 Compound Inequalities
September 19, 2016
Example 2: Write an inequality that represents the set of numbers and sketch its
graph.
All real numbers that are less than or equal to ­3 or greater than 0.
Sep 18­10:35 AM
Example 3: Write an inequality that describes each condition.
a.) Water is a nonliquid when the temperature is 32oF or below, or is at least
212oF.
b.) A refrigerator is designed to work on an electric line carrying from 115 volts to
120 volts.
Sep 18­10:37 AM
4
6.3 Day 1 Compound Inequalities
September 19, 2016
Sep 18­10:44 AM
Sep 18­10:51 AM
5
6.3 Day 1 Compound Inequalities
September 19, 2016
classwork
Work with your partner on the Solving Compound Inequalities
worksheet #1­8
After 10 minutes, find a new partner to compare answers.
Sep 18­10:42 AM
homework
6.3 Practice A Worksheet #1­16
Sep 18­11:03 AM
6
6.3 Day 1 Compound Inequalities
September 19, 2016
exit ticket/recap
1.
2.
3.
4.
A solution to this type of inequality is a solution of both of its
simple parts.
A solution to this type of inequality is a solution of either of
its simple parts.
The phrase "at least" means that you should use this type of
inequality symbol.
Write an inequality and graph:
x is less than 4 and is at least ­9
Sep 18­11:07 AM
7