Question

let P={x| x is a letter in the world 'CATARACT' } and Q= {y | y is a letter in the world 'TRACT'}
Show that P=Q​

Answer 1

Answer:

Let P = { y | y is a letter in the word'CATARACT' } andQ = {z | z is a letter in the word 'TRACT' }Show that P = Q

Answer 2

Answer:

P = Q

Step-by-step explanation:

P = {x| x is a letter in the world 'CATARACT'}

CATARACT consists 2C, 3A, 2T and 1R. But basically it has only 4 different letters i.e. C, A, T, R

So, P = {C, A, T, R} & n(P) = 4

In the same way,

Q= {y | y is a letter in the world 'TRACT'}

TRACT consists C, A, 2T and R. But basically it has only 4 different letters i.e. C, A, T, R.

So, Q = {C, A, R, T} & n(Q) = 4

Since, all the elements as well as number of elements in P & Q is same, P = Q.