The sum of 4.6 and one-third a number is equal to at most 39.1. What are all the possible values of the number? Artem wrote the inequality 1/3n+4.6≤39.1

Question

, where n equals the number, to help solve this problem. Solve his inequality.(1 point)

Answer 1

To solve the inequality \( \frac{1}{3}n + 4.6 \leq 39.1 \), we will first isolate \( n \).

1. Subtract \( 4.6 \) from both sides:

\[ \frac{1}{3}n \leq 39.1 - 4.6 \]

2. Calculate \( 39.1 - 4.6 \):

\[ 39.1 - 4.6 = 34.5 \]

So, the inequality now is:

\[ \frac{1}{3}n \leq 34.5 \]

3. Next, multiply both sides by \( 3 \) to eliminate the fraction:

\[ n \leq 34.5 \times 3 \]

4. Calculate \( 34.5 \times 3 \):

\[ 34.5 \times 3 = 103.5 \]

Thus, the inequality simplifies to:

\[ n \leq 103.5 \]

Therefore, all possible values of the number \( n \) are:

\[ n \in (-\infty, 103.5] \]