Multiple in interval X36596

Statement

Write a function @multiple_in_interval(a,b,x)@ that given three integers $a$ , $b$ , and $x$ , returns True if the interval $[a,b]$ contains a number that is multiple of $x$ , and False otherwise.

We are guaranteed that all three numbers $a$ , $b$ , and $x$ will be strictly greater than zero.

Sample session

Observations

If you want to test your program locally, remember to include the following lines at the end of the file:

if __name__ == "__main__":
   import doctest
   doctest.testmod(verbose=True)

Sample session

>>> multiple_in_interval(5, 10, 2)
True
>>> multiple_in_interval(10, 5, 2)
False
>>> multiple_in_interval(10, 10, 2)
True
>>> multiple_in_interval(51, 58, 5)
True
>>> multiple_in_interval(50, 55, 7)
False
>>> multiple_in_interval(100, 180, 92)
False
>>> multiple_in_interval(5, 10, 2) and (3>2)
True

Information

Author: ProAl
Language: English
Official solutions: Python
User solutions: Python