Question

State which of the following sets are empty. (i)A = {x |x + 5 = 5 and x is a real number} (ii)B = {y |y is an even prime number greater than 2} (iii)c = {a |a is a point common to two distinct parallel lines}

Answer 1

Answer:

(iii) Here, x2 – 2 = 0, x2 = 2, x = ± √2 ∈ N. There is not natural number whose square is 2. Therefore it is an example of empty set.

Step-by-step explanation:

make me brainliest bro and give me thanks

Answer 2

Step-by-step explanation:

Empty set is a set which does not contains any element.

i] Set of all even natural numbers divisible by 5

→ Not a Empty set, e.q. 10, seven natural number &

divisible by 5.

ii] Set of all even prime number

→ not a Empty set e.q. 2 is even prime number

iii] {x:x

2

−2=0 & x is rational }

→ not a Empty set, e.q. x=2 satisfy which is a

rational number.

iv] {x:x is a natural number x < 8 & x > 12 }

→ It is a empty set because if a natural number is less

than 8, then it cannot be greater than 12.

v] {x:x is a point common to any two parallel lines }

→ A empty set because there will be no common

point between two parallel lins.

So (iv) & (v) are examples of empty of empty sets.