Final answer:
After substituting x with 6 into the inequality x - 1 < 7 and simplifying, we find that the resulting statement 5 < 7 is true. Therefore, x = 6 is a solution to the inequality.
Step-by-step explanation:
To determine if x = 6 is a solution to the inequality x - 1 < 7, we can substitute x with 6 and simplify the inequality:
Substitute 6 for x: 6 - 1 < 7.
Simplify the left side: 5 < 7.
Since 5 is less than 7, the statement is true.
Therefore, x = 6 is indeed a solution to the inequality x - 1 < 7.