Question

If O = {odd numbers less than 12} and E = {even numbers between 7 and 17}, show that: n(O) – n(E) = 1

Answer 1

Step-by-step explanation:

given that,

O={odd no. less than 12}

O={1,3,5,7,9,11}

E={even no. between 7and 17}

E={8,10,12,14,16}

now,

Cardinal number in set O,

n(O)=6

Cardinal number in set E,

n(E)=5

to prove,

n(O)-n(E)=1

proof,

n(O)-n(E)=1

6-5=1

1=1

LHS=RHS

HENCE PROVED