Is the following statements true or false? See Examples 2 and 6.
EXAMPLE 2 Tell whether each statement is true or false.
a. 8 ≥ 8
b. 8 ≤ 8
c. 23 ≤ 0
d. 23 ≥ 0
Solution
a. True. Since 8 = 8 is true, then 8 ≥ 8 is true.
b. True. Since 8 = 8 is true, then 8 ≤ 8 is true.
c. False. Since neither 23<0 nor 23 = 0 is true, then 23 ≤ 0 is false.
d. True. Since 23 > 0 is true, then 23 ≥ 0 is true.
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.
10 > 11
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