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Algebra II Honors Problem of the Day
Homework: p. 19-20 29-32 all, 33-39 odds, 61-65 odds
Place the appropriate symbol ( >, <, or = )in each blank.
1)
3____
7
2
3)  2 ____  3
2)
4)
2
____ .67
3
1
.2 ____
5
Absolute Value of Real Numbers
The absolute value of a real number, a, will be shown as:
a
And defined as a if a ≥ 0 and – a if a < 0 .
Examples:
 3.2


 -5
x  3 for x  3
Set Notation
A  2, 3, 5, 7, 9

B whole numbers 
AB
Names a new set that is all elements from both sets.
union

A B
Names a new set that is all elements common to both sets.

intersection
A  x x  3

Find the following sets:
A B


B  x  5  x  3
A B
A  B  x x  5


A  B  x  3  x  3

Algebra II Honors Problem of the Day
Homework: p.20 41-59 odds, 62-66 evens
Graph each of the following inequalities on a number line.
Use a different number line for each question.
a) x  3
b) x  2
c) 1  x  4
Interval Notation
Interval notation is a way of naming an infinite set of
numbers from the number line.
Parentheses indicates the number next to it is not
included in the set. open circle
A bracket indicates the number next to it is included in
the set. closed circle
A comma indicates the numbers between those on
either side of it.
The infinity symbol means the numbers go on forever.