Identify the Curve as Simple, Closed, Both, or Neither

question 179

Multiple Choice

Identify the curve as simple, closed, both, or neither.
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• A) Closed
• B) Neither
• C) Both
• D) Simple

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Definitions:

Hypothetical Syllogism (HS)

A logical argument consisting of two conditional statements and a conclusion that is logically inferred from them.

Modus Ponens (MP)

A logical rule stating that if a conditional statement ("if p then q") is accepted, and the antecedent (p) is also accepted, then the consequent (q) must be accepted.

Modus Tollens (MT)

A form of logical argument where the contrapositive is taken: if P implies Q and Q is false, then P must also be false.

Constructive Dilemma (CD)

A logical argument asserting that if P implies Q and R implies S, and either P or R is true, then either Q or S must be true.