Unit 2 Section 16 Compound Inequalities.notebook
December 03, 2015
Bellringer
Average Annual Orange Tree Production
(number of boxes per year)
.
.
0
1
2
3
4
5
The diagram shows the number of boxes of oranges that an orange tree can produce in 1 year. An orange grower earns $9.50 for each box of oranges that he sells. How much could the grower expect to earn in 1 year from 1 tree? Explain your reasoning.
Nov 12­7:51 PM
Nov 30­7:13 AM
Unit 2 Section 16 Compound Inequalities.notebook
Nov 30­7:44 AM
Compound Inequalities
Unit 2
Nov 4­9:59 AM
December 03, 2015
Unit 2 Section 16 Compound Inequalities.notebook
December 03, 2015
Compound Inequality: two distinct inequalities joined by
the word "and" or the word "or".
2
1
0
3
4
x≥3
1
0
2
3
1
2
9 10
8
4
6
5
7
9 10
8
Interval Notation (­∞, 7)
3
Conjuntion
7
Interval Notation [3, ∞)
x<7
0
6
5
4
6
5
7
9 10
8
x≥3 and x<7
Interval Notation: [3, 7)
3≤x<7
Nov 4­9:59 AM
­3
­2
­1
0
1
x<-2
­3
­2
­1
­2
­1
Disjuntion
4
7
6
5
Interval Notation: (-∞, -2)
0
x≥1
­3
3
2
1
2
3
4
5
6
7
Interval Notation: [1, ∞)
0
1
2
3
4
5
6
7
x<-2 or x ≥ 1 Interval Notation:
(­2, 1]
Dec 3­9:20 AM
Unit 2 Section 16 Compound Inequalities.notebook
December 03, 2015
Example 1: Write the compound inequality that represents the phrase,
then graph the solutions.
a) all real numbers that are greater than ­2 and less than 6
b) all real numbers that are less than 0 or greater than or equal to 5
Nov 4­10:01 AM
Example 2: Graph each compound inequality
a) ­4 < x < 2
b) x ≤ ­3 or x > 1
c) ­7 ≤ x < ­2
Nov 12­8:04 PM
Unit 2 Section 16 Compound Inequalities.notebook
December 03, 2015
d) [­1, 0)
e) x ≤ ­1 and x < 0
f) x ≥ 1 or x ≤ ­2
g) (­2, 2]
Dec 3­9:19 AM
Example 3: Solve, then graph each compound inequality
a)
b) Nov 4­10:02 AM
Unit 2 Section 16 Compound Inequalities.notebook
December 03, 2015
6 ­ x ≤3
c) ­3≤ 9
d) 12h ­ 3 ≥15h or 5 > ­0.2h + 10
Dec 3­9:19 AM
Keystone Ready
A compound inequality is shown below.
5 < 2 – 3y < 14
What is the solution of the compound inequality?
A. –4 > y > –1
B. –4 < y < –1
C. 1 > y > 4
D. 1 < y < 4
Aug 21­1:30 PM
Unit 2 Section 16 Compound Inequalities.notebook
December 03, 2015
Example 4: Greg calculates his final grade by averaging
three grades that he earned during the first 3 semesters.
So far he‛s earned 83, 87, and 85. Set up and solve an
compound inequality to determine the score Greg must
earn during the 4th semester to receive a final grade
between an 85 and a 95.
Nov 4­10:02 AM
Keystone Ready
David correctly graphed an inequality as shown below.
–10 –9 –8 –7 –6 –5 –4 –3 –2 –1 0 1 2 3 4 5 6 7 8 9 10
The inequality David graphed was written in the form 7 ≤ _?_ ≤ 9.
What is an expression that could be put in place of the question mark so that the inequality would have the same solution set as shown in the graph?
Aug 21­1:38 PM
Unit 2 Section 16 Compound Inequalities.notebook
Friday December 4th:
Classwork:
Homework Packet
pages 66, 67
Nov 27­6:04 PM
December 03, 2015