Question

Decide whether set A and B are equal sets. Given reason for your answer
A = Even prime number
B = $\{x,7x-1=3\}$

Answer 1

A=even prime no.$=2$

$A=2$

Set $B=x,7x-1=3$

$7x-1=3\to 7x=3+1=4$

$x=\frac{4}{7}$

$\therefore$ Set $B=\left\{\frac{4}{7}\right\}$

From above we see that set $A\ne$ set $B$