Question

Scrie sub formă de interval mulțimile
a) A= {x€ R /2|x| ≤3}
b) B = {x€ R /|x+2| ≤√2}
c) C= {x€ R/|2x-3| <6} ​

Answer 1

a) A= {x€ R /2|x| ≤3}

2|x| ≤3

|x| ≤3/2

-3/2≤x ≤3/2

=> A=[-3/2,3/2]

b) B = {x€ R /|x+2| ≤√2}

|x+2| ≤√2

-√2≤x+2≤√2

-√2-2≤x≤√2-2

=>B=[-√2-2,√2-2]

c) C= {x€ R/|2x-3| <6}

|2x-3| <6

-6<2x-3<6

-3<2x9

-3/2<x<9/2

=> C=(-3/2,9/2)