Question

Which inequality represents this situation?
Three more than four times a number is less than or equal to twenty-six.
3n + 4 ≥ 26
3n + 4 ≤ 26
4n + 3 ≥ 26
4n + 3 ≤ 26

Answer 1

To represent the situation "Three more than four times a number is less than or equal to twenty-six," we can break it down as follows:

1. Let the unknown number be represented by \( n \).
2. "Four times a number" translates to \( 4n \).
3. "Three more than four times a number" translates to \( 4n + 3 \).
4. The phrase "is less than or equal to twenty-six" translates to the inequality \( \leq 26 \).

Putting it all together, we have the inequality:

\[
4n + 3 \leq 26
\]

Therefore, the correct choice is:

**4n + 3 ≤ 26**