If the range is 57, the two possible values of x are x = -8 and x = 74.
We have the set of numbers:
{17, 17, 22, 32, 46, 49, 49, x}
Where the numbers are ordered, except for x.
We know that the range of the set is 57, remember that the range is the difference between the largest number and the smallest number on the set.
So, if we assume that x is the smallest number on the set, the largest is 49, then we must have:
49 - x = 57
49 - 57 = x = -8
Now, if we assume that x is the largest number on the set, the smallest is 17, then:
x - 17 = 57
x = 57 + 17 = 74
Finally, we conclude that the two possible values of x are -8 and 74.
If you want to learn more about sets of numbers:
https://brainly.com/question/24326172
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