Answer:
k > 1 is the solution.
Step-by-step explanation:
We are given that 'Negative 5 is fewer than 6 less than a number k', so algebraically it means that - 5 < k - 6.
Then this is a linear inequality of single variable k and we have to solve it.
Now, we have
- 5 < k - 6
⇒ - 5 + 6 < k - 6 + 6 {Adding 6 to both sides}
⇒ 1 < k
⇒ k > 1
This is the solution of the given inequality. (Answer)