Troll test

Number Theory Level 2

To start this problem... You are a college student and you get a math test. Normal, RIGHT? NO NO NO, there is a trick question it says the following: x=x+1 ........... (you must get every question correct to pass)

there is an answer and its -400 There is no answer :) there is an answer and its 27 there is an answer and its 7 there is an answer and its 100 there is an answer and its -9

Tristan Swanepoel by Tristan Swanepoel , 14, South Africa

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4 solutions

Lâm Lê
Oct 5, 2020

What if x x is an infinite cardinal? See my Aleph and Omega Numbers discussion on my profile. ℵ n + 1 = ℵ n \aleph_n+1=\aleph_n (Search up Hilbert's Hotel)

0 Helpful 0 Interesting 1 Brilliant 0 Confused
James Watson
Aug 18, 2020

x = x + 1 ⇒ subtract x 0 = 1 \begin{aligned} x&=x+1 \\ \xRightarrow{\text{subtract }x} 0 &= 1 \end{aligned}

We know that 0 ≠ 1 0 \neq 1 so this statement is impossible and therefore there are no answers \green{\boxed{\text{no answers}}}

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Yajat Shamji
Aug 18, 2020

x = x + 1 x = x + 1

Sub x = 0 x = 0 :

0 ≠ 1 0 \neq 1

0 Helpful 0 Interesting 0 Brilliant 0 Confused

x = x + 1 x=x+1 0 = 1 0=1 Q.E.D., maths is wrong. \text{Q.E.D., maths is wrong.}

0 Helpful 0 Interesting 0 Brilliant 0 Confused

@Vinayak Srivastava check this

SRIJAN Singh - 9 months, 4 weeks ago

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