Question

{x : x is a composite number less than 10} and {x : x is a letter of the word JULY} are sets.

• A. equal
• B. equivalent
• C. overlapping

Answer 1

The correct option is B equivalent

Let $A$={x : x is a composite number less than 10}. Then the set $A$ in its roster form is given by
$A$={4,6,8,9}
Note that the cardinality of $A$ is 4.
Also, if $B$={x : x is a letter of the word JULY}, then $B$={J,U,L,Y} and thus the cardinality of $B$ is 4.
Since the cardinalities of A and B are same, the two sets are equivalent.