Question

Determine whether the given relation is reflexive, symmetric, transitive, or none of these. (Select all that apply.)

Answer 1

Answer:

Reflective

Symmetric

Transitive

Step-by-step explanation:

A is reflexive: Since the relation is based on the sum of characters in a string, s=s, so sAs.

A is symmetric: Suppose s and t are strings. if sAt, then s and t have the same sum of their characters, so tAs.

A is transitive: Suppose s,t and r are strings. if sAt, and tAr, then since s and t have the same sum, and t and r have the same sum, s and r have the same sum. So sAr.