A intersection (B-C) = (A intersection B)-(A intersection C)

prove it with using properties and please don't solve it by the method of assuming x as arbitrary element of sets

Asked by govtsecschoolnayaganv051 | 29th Jun, 2018, 07:19: PM

Expert Answer:

begin mathsize 16px style straight A intersection open parentheses straight B minus straight C close parentheses equals open parentheses straight A intersection straight B close parentheses minus open parentheses straight A intersection straight C close parentheses
Using space distributive space law comma space which space we space used space in space real space numbers.
straight a cross times left parenthesis straight b plus straight c right parenthesis equals straight a cross times straight b plus straight a cross times straight c
Similarly comma
straight A intersection open parentheses straight B minus straight C close parentheses equals open parentheses straight A intersection straight B close parentheses minus open parentheses straight A intersection straight C close parentheses
You space can space verify space using space any space non minus empty space or space null space sets.
space
end style

Answered by Sneha shidid | 10th Jul, 2018, 10:00: AM