Which of the Following Is a Negation for "For Any $n \leq 2$

question 5

Multiple Choice

Which of the following is a negation for "For any integer n, if n is composite, then n is even Or n > 2."

• A) For any integer n , if n is composite, then n is not even or \(n \leq 2\).
• B) For any integer n , if n is not composite, then n is not even or \(n \leq 2\)
• C) For any integer n , if n is not composite, then n is not even and \(n \leq 2\)
• D) For any integer n , if n is not composite, then n is even and \(n \leq 2\)
• E) For any integer n , if n is not composite, then n is not even and \(n \leq 2\).
• F) There exists an integer n such that if n is composite, then n is not even and \(n \leq 2\).
• G) There exists an integer n such that n is composite and n is not even and \(n \leq 2\).
• H) There exists an integer n such that if n is not composite, then n is not even and \(n \leq 2\).
• I) There exists an integer n such that n is composite and n is even and \(n \leq 2\).
• J) There exists an integer n such that if n is not composite, then n is not even or \(n \leq 2\).

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Definitions:

Rifted Apart

A geographical term describing the process by which tectonic plates move away from each other, creating rift valleys or separating landmasses.

Oceanic Plateau

A large, flat, elevated area of the seabed formed by volcanic activity, often found in the middle of ocean basins.

Hot Spot

A volcanic region thought to be fed by underlying mantle that is anomalously hot compared with the surrounding mantle.

Transform Boundary

A type of tectonic plate boundary where plates slide past each other horizontally, causing seismic activity.