Let's break down the problem step-by-step:
1. Understand the Range of Possible Integers:
- The problem states that we are dealing with integers from 1 through 14.
2. Identify Integers Greater than 6:
- List the integers in that range:
[tex]\[
1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14
\][/tex]
- We are interested in integers greater than 6:
[tex]\[
7, 8, 9, 10, 11, 12, 13, 14
\][/tex]
3. Count the Integers Greater than 6:
- The integers that are greater than 6 are:
[tex]\[
7, 8, 9, 10, 11, 12, 13, 14
\][/tex]
- Count the total number of these integers:
[tex]\[
8 \text{ integers}
\][/tex]
Based on the problem, there are 8 integers from the range 1 through 14 that are greater than 6.