22. The set of integers as >> = (. ...-3, -2, -1, 0. 1, 2, 3. ... ). The greatest integer of x, denoted by [x ]. is defined to be the largest integer k with k x. a. Find | 0.785 ]. [117 ]. [- 2.001 ) and [ +6 ] b. Discuss with your classmates how | x | may be described as a piecewise defined function. HINT: There are infinitely many pieces! c. Is La|+ b =|a+ b |always true? What if a or b is an integer? Test some values, make a conjecture, and explain your result