Question

work sheet
1) which of the following
are null sets Justify
youel answer
a) A = {x: x² = 4 and 3x=9}​

Answer 1

Answer:

A = { } null set

Here, A = x such that, x is any value whose square is 4 and when multiplied with 3 is equal to 9.

we know that there's only one value whose square is 4.

i.e. 2 (2^2 = 4) means x = 2

but when 2 is multiplied by 3, it is not equal to 9

i.e. (2 * 3 = 6)

hence, there's no such value with square 4 and when multiplied by 3 gets us 9.

hence, A is null set.