The sets,
A={x:x ϵ N and 13>2x+1} and
B={y:y ϵ N and 1≤y<6} are ________.
A={x:x ϵ N and 13>2x+1}
13>2x+1
⇒12>2x
⇒6>x or x<6
∴A={1,2,3,4,5}
B={y:y ϵ N and 1≤y<6}
B={1,2,3,4,5}
The cardinality and the elements in both the sets are same.
Hence, set A and set B are equal sets.