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Chapter 2: Q3. (page 139)

State whether each sentence is true or false. If false, replace the underlined term to make a true sentence.

The numbers 10, 12, and 14 are an example of consecutive even integers.

Short Answer

Expert verified

The given statement is true.

Step by step solution

01

Step 1. Given Statement.

The numbers 10, 12, and 14 are an example of consecutive even integers.

02

Step 2. Even numbers.

A number that can be divided by 2 is said to be even integer, an even integer is of the form: 2n, where n is a integer.

Consecutive integers: Consecutive integers are of the form 2n,2(n+1), and 2(n+2)鈥�. and so on.

03

Step 3. Description of step.

Note that

10=2脳5,

12=2脳6=2(5+1), and

14=2脳7=2(5+2)

Thus, 10, 12 and 14 are even numbers and there is no other even number in between them.

Thus, the given statement is true.

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