What is \lfloor+x+1\rfloor-\lfloor+x\rfloor ?

The solution to \lfloor+x+1\rfloor-\lfloor+x\rfloor is 1

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simplify \lfloor+x+1\rfloor-\lfloor+x\rfloor

simplify

⌊ + x + 1 ⌋ - ⌊ + x ⌋

1

Solution steps

⌊ x + 1 ⌋ - ⌊ x ⌋

⌊ x + n ⌋ = ⌊ x ⌋ + n, n \in Z

= ⌊ x ⌋ + 1 - ⌊ x ⌋

Group like terms

= ⌊ x ⌋ - ⌊ x ⌋ + 1

Add similar elements:

⌊ x ⌋ - ⌊ x ⌋ = 0

= 1

- 9 \times 3

\frac{1}{x} \times x

5 x^{2} + 36 x + 36

\frac{8}{3} \div 6

8 \times 3

What is \lfloor+x+1\rfloor-\lfloor+x\rfloor ?
The solution to \lfloor+x+1\rfloor-\lfloor+x\rfloor is 1