Question

What is the accurate algebraic representation of the given statement? The sum of three times the number n and 6 is, at most, the difference between the number n and 5.

a. 9n≥5
b. 3n+6≤n−5
c. 3n−6<5n
d. 6n+3>n+5

Answer 1

The accurate algebraic representation of the given statement, 'The sum of three times the number n and 6 is, at most, the difference between the number n and 5,' is option b. 3n+6≤n−5.

Step-by-step explanation:

The accurate algebraic representation of the given statement, 'The sum of three times the number n and 6 is, at most, the difference between the number n and 5,' is option b. 3n+6≤n−5.

To arrive at this representation, we break down the statement step by step:

1. The sum of three times the number n: 3n
2. Add 6: 3n + 6
3. The difference between the number n and 5: n - 5
4. At most: ≤

Putting it all together, we get 3n + 6 ≤ n - 5.