Question

find which of the following sets are empty:
(1)C={even numbers between 6 and 10}
and
(2)D={prime numbers between 7 and 11}

Answer 1

(2) is the answer because 8 is the multiple of 2, 9 is the of 3, 10 is the multiple of 2 and 5

Answer 2

Hey there!

C = Even number between 6 and 10

Numbers between 6 and 10 are 7,8,9.

7/2=3.5 not divisible by 2
8/2=4 ✔
9/2=4.5 not divisible by 2

∴ C = { 8}

D = Prime number between 7 and 11

Numbers between 7 and 11 = 8,9,10

Factors of 8=1,2,4,8
Factors of 9 =1,3,9
Factors of 10=1,2,5,10.

Here every number has more than two factors, hence they aren't prime number.

∴D = { ∅ }

Hence, D is an empty set .

Answer is Option (2)