Floor and Ceil

Algebra Level 3

⌈ − x ⌉ = − ⌊ x ⌋ \large \lceil -x \rceil = -\lfloor x \rfloor

Is the equation above always true for all real x x ?

  • ⌈ ⋅ ⌉ \lceil \cdot \rceil denotes the ceiling function
  • ⌊ ⋅ ⌋ \lfloor \cdot \rfloor denotes the floor function
It's true for some values of x x Yes No

Vilakshan Gupta by Vilakshan Gupta , 19, India

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