Question

va rog frumos ajutați-mă! Dau coroană si urmărire la persoanele care chiar își dau interesul iar la persoanele care rsp la mișto raportt. ​

Answer 1

A. x∈Z

-√8<x<√8 |²

-8<x<8

=> A={±7,±6,±5,±4,±3,±2,±1,0}

B. x∈N

x=n²

-6<-√x<-1 | •(-1)

6<√x<1 |²

36<x<1

x<1, x>36 => B=Ø

C. x∈R

|x+1|=6

x+1=6 => x=5

-(x+1) = 6 <=> -x-1=6

-x=7

x=7

=> C={5,7}

D. x∈R\Q

|x-2√3|=√3

x-2√3=√3

x=3√3

-(x-2√3)=√3 <=> -x+2√3=√3

-x=-√3

x=√3

=> D={√3; 3√3}

E. x∈N

|2x+1|=7

2x+1=7

2x=6 => x=3

-(2x+1)=7

-2x-1=7

-2x=8

x=-4

=> E={-4,3}

F. x∈Q

|(3x+4)/2|=4

(3x+4)/2=4

3x+4=8

3x=4

x=4/3

-[(3x+4)/2]=4

-3x-4=-8

-3x=-4

x=-4/3

F={4/3,-4/3}

G. x∈Z

|2x-5|=9

2x-5=9

2x=14

x=7

-(2x-5)=9

-2x+5=9

-2x=4

x=-2

G={-2,7}