Insert <, >, or = in the appropriate space to make a true statement. See Examples 6 through 8.
EXAMPLE 6 Insert <, >, or = in the appropriate space to make each statement true.
a.
−1
0
b.
7
c.
−5
−6
Solution
a. −1 < 0 since −1 is to the left of 0 on a number line.
b.
since
simplifies to 7.
c. −5 > −6 since −5 is to the right of −6 on the number line.
EXAMPLE 7 Find the absolute value of each number.
a. |4|
b. |−5|
c. |0|
d.
e. |5.6|
Solution
a. |4| = 4 since 4 is 4 units from 0 on a number line.
b. |−5| = 5 since −5 is 5 units from 0 on a number line.
c. |0| = 0 since 0 is 0 units from 0 on a number line.
d.
since
is
unit from 0 on a number line.
e. |5.6| = 5.6 since 5.6 is 5.6 units from 0 on a number line.
EXAMPLE 8 Insert <, >, or = in the appropriate space to make each statement true.
a.
|0|
2
b.
|−5|
5
c.
|−3|
|−2|
d.
|5|
|6|
e.
|−7|
|6|
Solution
a. |0| < 2 since |0| = 0 and 0 < 2.
b. |−5| = 5 since 5 = 5.
c. |−3| > |−2| since 3 > 2.
d. |5| < |6| since 5<6.
e. |−7| > |6| since 7 > 6.
|0| | |−8| |
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