Question

va roggg e urgentt dau coroanaaa
de scris elementele urmatoarelor multimi
va rogg multt!!!!!!!!!!!​

Answer 1

Prima multime

5/(x-2) apartine Z asadar x-2 apartine D5 intregi

stim ca D5 = {-5,-1, 1, 5} inlocuiesti pe x din acea fractie cu fiecare valoare data stiind ca rezultatul trebuie sa apartina lui Z.

Daca x = -5 => 5/(-5-2) = 5/-7 nu apartine Z

Daca x = -1 => 5/(-1-2) = 5/-3 nu apartine

Daca x = 1 => 5/(1-2) = 5/-1 = -5 apartine Z

Daca x = 5 => 5/(5-2) = 5/3 nu apartine Z

Deci multimea are doar elementul {-5}

A doua multime

10/(2x-1) apartine Z asadar 2x-1 apartine D10 intregi

stim ca D10 = {-10,-5,-2,-1,1,2,5,10}

Daca x = -10 => 10/(-20-1) = 10/-21 nu apartine

Daca x = -5 => 10/(-10-1) = 10/-11 nu apartine

Daca x = -2 => 10/(-4-1) = 10/-5 = -2 apartine

Daca x = -1 => 10/(-2-1) = 10/-3 nu apartine

Daca x = 1 => 10/(2-1) = 10 apartine

Daca x = 2 => 10/(4-1) = 10/3 nu apartine

Daca x = 5 => 10/(10-1) = 10/9 nu apartine

Daca x= 10 => 10/19 nu apartine

Deci multimea are elementele {-2, 10}