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

Answer 1

Let's assume the number as "x".

According to the given information, the sum of 4.5 and one-third of the number is at most 38.9. Mathematically, we can write this as:

4.5 + (1/3)x ≤ 38.9

To solve this inequality, we can subtract 4.5 from both sides:

(1/3)x ≤ 38.9 - 4.5

Simplifying the right side:

(1/3)x ≤ 34.4

To isolate x, we can multiply both sides by 3:

3 * (1/3)x ≤ 3 * 34.4

This simplifies to:

x ≤ 103.2

Therefore, all possible values of the number (x) are less than or equal to 103.2. To represent this in an inequality, we can write:

x ≤ 103.2