Select the correct answer. If prepresents "a number Is divisible by 2," q represents "a number Is odd," and rrepresents "a number Is even," what does this statement Imply? O A. If a number Is divisible by 2, then It's even. Otherwise, It's odd. O B. If a number is divisible by 2, then it isn't even. Otherwise, It's even. If a number isn't divisible by 2, then It's odd. Otherwise, It's even. O D. If a number Is divisible by 2, then it Isn't odd. Otherwise, it's odd.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.1: Real Numbers
Problem 26E
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### Mathematical Thinking and Logic: Mastery Test

**Question 3**

---

**Select the correct answer:**

If \( p \) represents "a number is divisible by 2," \( q \) represents "a number is odd," and \( r \) represents "a number is even," what does this statement imply?

\[ (\sim p \rightarrow q) \vee r \]

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- **A.** If a number is divisible by 2, then it's even. Otherwise, it's odd.
- **B.** If a number is divisible by 2, then it isn't even. Otherwise, it's even.
- **C.** If a number isn't divisible by 2, then it's odd. Otherwise, it's even.
- **D.** If a number is divisible by 2, then it isn't odd. Otherwise, it's odd.

---

**Options:**
- `Reset` (button)
- `Next` (button)

---

This question presents a logical statement involving the properties of numbers being even or odd, and asks the student to deduce its implication among the provided choices. The choices test understanding of basic number properties and logical reasoning skills.

All content, including images, are for educational purposes.
Transcribed Image Text:### Mathematical Thinking and Logic: Mastery Test **Question 3** --- **Select the correct answer:** If \( p \) represents "a number is divisible by 2," \( q \) represents "a number is odd," and \( r \) represents "a number is even," what does this statement imply? \[ (\sim p \rightarrow q) \vee r \] --- - **A.** If a number is divisible by 2, then it's even. Otherwise, it's odd. - **B.** If a number is divisible by 2, then it isn't even. Otherwise, it's even. - **C.** If a number isn't divisible by 2, then it's odd. Otherwise, it's even. - **D.** If a number is divisible by 2, then it isn't odd. Otherwise, it's odd. --- **Options:** - `Reset` (button) - `Next` (button) --- This question presents a logical statement involving the properties of numbers being even or odd, and asks the student to deduce its implication among the provided choices. The choices test understanding of basic number properties and logical reasoning skills. All content, including images, are for educational purposes.
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