Create a function that validates whether a number n is within the bounds of lower and upper. Return false if n is not an integer.

Examples

int_within_bounds(3, 1, 9) ➞ true

int_within_bounds(6, 1, 6) ➞ false

int_within_bounds(4.5, 3, 8) ➞ false

Notes

• The term "within bounds" means a number is considered equal or greater than a lower bound and lesser (but not equal) to an upper bound, (see example #2).
• Bounds will be always given as integers.