Question

Hello. I have a problem on sets.

Decide whether set A and B are equal sets. Give reasons for your answer.

A={even prime numbers}

B={x|7x -1 = 13}

Please explain your answer. Thanks.

Answer 1

A= even prime number

there is only 1 even prime number,that is 2 because after this every even number is divisible by 2. So they cant be prime.

B says-
7x-1= 13
7x=13+1
7x=14
x=14/7
x=2

so A=2
B=2

that mean A & B are equal sets since they have same element in them.

Hope it helps.
Best of luck.