1. SECTION 3-6 : COMPOUND INEQUALITIES
ALGEBRA @
SECTION 3-6 : COMPOUND INEQUALITIES

2. Given the Venn Diagram at the right. Find A U B. Find .
A B 5 7
We can say that 1, 2, 3, 4, 5, 6 are in set A OR in set B.
U – OR - AND
We can say that 2 and 5 are in sets A AND B.

3. COMPOUND INEQUALITY : Two or more inequalities connected by the words and or or.
INTERVAL NOTATION : A way to write an interval.

4. Graph. Then, write the answer in interval notation.
3) x > 0 and x < 5
4) w < 9 and w > 4
5) 4 < w < 9
Note that the answers to numbers 4 and 5 are the same.

5. ALGEBRA I - SECTION 3-6 (Compound Inequalities)
12/7/2018
Write as a compound inequality without using the word and .
6) x > -3 and x < 7
7) x < -5 and x > -16
smaller # < x < larger #
larger # > x > smaller #

6. 8) 7 < x – 4 < 20 9) -11 < -2k – 5 < 13
Solve and graph.
8) 7 < x – 4 < 20
9) < -2k – 5 < 13
10) x > 7 or x < 3

7. 11)
12) 3w + 5 < -7 or -4w – 3 < -15

8. Your evil math teacher, who
shall remain nameless, is only giving two tests this grading period. They count equally; your grade will be the average of the two tests. Your first test grade was an 87. Write a compound inequality that describes what your second test grade must be in order for you to make an A for the class (90 or better). Be sure to clearly define your variable(s).