Is the following statements true or false? See Examples 2 and 6.EXAMPLE 2 Tell whether eac...

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

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b. 8 ≤ 8

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c. 23 ≤ 0

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d. 23 ≥ 0

Solution

a. True. Since 8 = 8 is true, then 8 ≥ 8 is true.

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b. True. Since 8 = 8 is true, then 8 ≤ 8 is true.

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c. False. Since neither 23<0 nor 23 = 0 is true, then 23 ≤ 0 is false.

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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

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b.

7

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c.

−5

−6

Solution

a. −1 < 0 since −1 is to the left of 0 on a number line.

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b. since simplifies to 7.

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c. −5 > −6 since −5 is to the right of −6 on the number line.

4 < 7