Please take time to answer the questions correctly and accurately. And show clear workings for it. Answer the questions and ensure QUESTIONS C IS CORRECT.

2. The ceiling of a real number r, denoted f, is the unique integer that satisfies In words, the ceiling of a number is the smallest integer that is greater than or equal that number (a) Compute0.11, r-1.41 and (6.3-27+/-4.1111 (b) Prove or disprove the following: for all real numbers r and y, r+91 =r1 + (c) Prove or disprove the following: for any real number x, if [al-x 1/2 then [22] = 2[r1-1