Question

Set P = {x, 4, 6, 10, -2, x, 6, 1, x} In set P, if the value of x is 4 greater than the largest numerical value present, what is the range of the set?

Answer 1

16.

Explanation:

The largest numerical value present in the set P is 10, then x is 4+10 = 14. Then the set P is

P = {14, 4, 6, 10, -2, 14, 6, 1, 14}.

Now, the range is the difference between the greatest and the smallest element in the set. The greatest number is 14 and the smallest is -2, then the range is

14-(-2) = 14+2 = 16.

Then the range of the set P is 16.