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

Answer 1

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.