Q3. - Algebra 1

Question

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.

Step-by-Step Solution

Answer

The given statement is true.

Step 1. Given Statement.

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

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 $2(n+2)$…. and so on.

Step 3. Description of step.

Note that 

$10=2\times 5$, 

$12 = 2\times 6 =2(5+1)$, and 

$14 = 2\times 7 =2(5+2)$

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

Thus, the given statement is true.