The sum of 4.5 and one-third a number is equal to at most 38.9. What are all the possible values of the number? How would you write an inequality that could be used to solve this problem?

1 answer

Let's represent the number as "x".

According to the problem, the sum of 4.5 and one-third of the number is equal to at most 38.9. Mathematically, this can be written as:

4.5 + (1/3)x ≤ 38.9

To solve this inequality, we can simplify it by subtracting 4.5 from both sides:

(1/3)x ≤ 34.4

Finally, we can multiply both sides by 3 to isolate x:

x ≤ 103.2

So, all the possible values for the number "x" are any value less than or equal to 103.2.