The ceiling function of a real number π₯, denoted by ππ(π₯), is defined asβ¦
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The ceiling function of a real number π₯, denoted by ππ(π₯), is defined as the smallest integer that is greater than or equal to π₯. Similarly, the floor function, denoted by ππ(π₯), is defined as the largest integer that is smaller than or equal to π₯. Which one of the following statements is NOT correct for all possible values of π₯?
- A.
ππ(π₯) β₯ π₯
- B.
ππ(π₯) β€ π₯
- C.
ππ(π₯) β₯ ππ(π₯)
- D.
ππ(π₯) < ππ(π₯)
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