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Algebra 2 – MA8212
Pd.
Unit 3-2 Review: Compound Inequalities
What do YOU need to be able to do tomorrow?
1)
SOLVE an Inequality: Solve just like an equation, except:
*** When you multiply or divide both sides by a negative, FLIP the symbol. ***
2)
GRAPH an Inequality:
Use an open circle with < and >
Use a closed circle with  and 
To Shade: What numbers make the inequality true?
3)
GRAPH an AND Compound Inequality:
Where do the inequalities overlap (intersect)?
x > 2 and x < 7 is the same as 2 < x < 7
4)
SOLVE & GRAPH an OR Compound Inequality - Graph both inequalities
Practice Problems:
(HINT: For #1 and #2, look in your Notes)
1)
What word describes an AND compound inequality?
2)
What word describes an OR compound inequality?
GRAPH the following compound inequalities.
3)
-4  x  1
4)
x > 0 AND x < 3
5)
g < -3 OR g  4
6)
x > 4 AND x < 0
1
Algebra 2 – MA8212
SOLVE and GRAPH the following compound inequalities. SHOW ALL YOUR WORK!!!
7)
x – 3 < -7 OR x + 5  8
8)
5 < 3x + 2  11
9)
2x – 4 > -6 AND x + 1 < 13
10)
x + 3 < 0 OR 2x + 5 < 9
Write the following AND inequalities as a Sandwich inequality.
11)
x  3 AND x  -2
12)
x > 1 AND x  4
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Algebra 2 – MA8212
13)
Write a compound inequality for each graph.
14)
Strong winds called the prevailing westerlies blow from west to east in a belt from
40o to 60o latitude in both the Northern and Southern Hemispheres. Write an
inequality to represent the latitudes of the prevailing westerlies. (HINT: use the
number line)
15)
To relieve arthritis, Dr. Stoll recommends taking between 400 and 600 mg of
ibuprofen, inclusively.
16)
An advertisement for a part-time job says that the hourly rate is between $6.40
and $9.80 inclusive, depending on experience.
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17)
Algebra 2 – MA8212
The United States Postal Service charges a “nonmachinable surcharge” for firstclass mail if the length of the envelope (parallel to the address) divided by the
height of the envelope is less than 1.3 or more than 2.5. Charlene has an envelope
with a height of 3.5 inches. Write a compound inequality to show the lengths in
inches for which Charlene will have to pay the surcharge.
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