Question

The difference between a number and seven is less than or equal to -3.

Find the possible numbers.

n ≤ -10
n ≤ 4
n ≥ 4
n ≥ -10

Answer 1

To solve the inequality "The difference between a number and seven is less than or equal to -3", we can express it mathematically as:

\[
n - 7 \leq -3
\]

Now, we can isolate \(n\):

1. Add 7 to both sides of the inequality:
\[
n \leq -3 + 7
\]

2. Simplify the right-hand side:
\[
n \leq 4
\]

Thus, the solution to the inequality is:

\[
n \leq 4
\]

Therefore, the correct answer from the provided options is:
- **n ≤ 4**