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 could u write an inequality that could be used to solve this problem?
APPLICATIONS OF INEQUALITIES QUICK CHECK NEED HELP
Let's represent the number as 'x'.
According to the given information, we can write the equation:
4.5 + (1/3)x ≤ 38.9
To find all the possible values of x, we need to solve this inequality.
To do that, we can start by subtracting 4.5 from both sides of the inequality:
(1/3)x ≤ 38.9 - 4.5
(1/3)x ≤ 34.4
Now, to isolate x, we can multiply both sides of the inequality by 3 (because 1/3 times 3 equals 1):
3 * (1/3)x ≤ 3 * 34.4
x ≤ 103.2
So, the possible values of x are any number less than or equal to 103.2.
Therefore, the inequality that could be used to solve this problem is:
x ≤ 103.2