Applications of Inequalities Quick Check 3 of 5 3 of 5 Items Question 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?
Let's call the number "x".
The sum of 4.6 and one-third of "x" can be represented as:
4.6 + (1/3)x
According to the problem, this sum is equal to at most 39.1.
So, we can write the inequality:
4.6 + (1/3)x ≤ 39.1
To solve for "x", we first subtract 4.6 from both sides:
(1/3)x ≤ 39.1 - 4.6
Simplifying the right side:
(1/3)x ≤ 34.5
To get rid of the fraction, we can multiply both sides by 3:
3 * (1/3)x ≤ 3 * 34.5
This eliminates the fraction:
x ≤ 103.5
So, all the possible values of the number "x" are less than or equal to 103.5.