Question

If A = {x R : |x| < 2 } and B = { x R : |x-2| ≥ 3} ; then :


(a) A - B = [-1,2)

(b) A ⋃ B = R - (2,5)

(c) B - A = R -(-2,5)

(d) A ⋂ B = (-2, -1)
I know the answer is option (c) can someone please explain it to me in simple words. ​

Answer 1

Step-by-step explanation:

GIVEN :

A = ( -1 , 0 , 1 )

in B set according to the given condition i.e.

|x - 2| > or = 3

in this set the positive elements are starts from

5 and goes upto infinity as the condition is greater than or equal to 3

in this set negative elements starts from -1 and goes upto negative infinity as it is a modulous

function

from this. B set. is. ( -ve infinity , -1 ) union. ( 5 , +ve infinity )

as B. is very much larger than A so in negative. operation we take R -

I think u have understood because u said that u need explanation of answer so I did

IF IT IS HELPFULL THEN MARK IT AS BRAINLIEAST PLZ PLZ