Write an Equivalent Sentence for the Statement

question 201

Multiple Choice

Write an equivalent sentence for the statement.
-An number n is divisible by 3 if and only if the sum of the digits of n is divisible by 3. (Hint: Use The fact that (p → q) ∧ (q → p) is equivalent to p ↔ q.)

• A) The sum of the digits of n is divisible by 3 or the number n is divisible by 3.
• B) If a number n is divisible by 3 then the sum of the digits of n is divisible by 3, and if the sum of the digits of n is divisible by 3 then the number n is divisible by 3.
• C) If a number n is divisible by 3 then the sum of the digits of n is divisible by 3, or if the sum of the digits of n is divisible by 3 then the number n is divisible by 3.
• D) A number n is divisible by 3 and the sum of the digits of n is divisible by 3.

---

Definitions:

Humane Environment

A setting or condition that shows compassion and respect for the well-being of all beings involved.

Wyatt v. Stickney

A landmark legal case that established the right to adequate treatment for people in psychiatric hospitals in the United States.

Major Depression

a severe mood disorder characterized by persistent feelings of sadness, loss of interest in activities, and a range of physical and cognitive symptoms, affecting daily functioning.

Attention-Deficit/Hyperactivity Disorder

A condition characterized by difficulties maintaining attention, excessive activity, and actions without much consideration, impacting daily functioning.