Answer: Then the two possible values of x are 53 and -14
Step-by-step explanation:
When we have a set of numbers
{a, b, c, d, e}
The range will be equal to the difference between the larger number and the smaller number.
In our case, the set is:
{26, 33, 46, x, 9, 7, 10, 11}
First, we need to see than largest and smallest numbers in the set (ignoring x)
The largest is 46
the smallest is 7.
Now, if we considerate that x is the smallest number in the set, we will have that:
46 - x = 60
x = 46 - 60 = -14
If x is the largest number on the set, we have that:
x - 7 = 60
x = 60 - 7 = 53
Then the two possible values of x are 53 and -14