Which of the Following Is a Negation for "For All $r s > 10 . "$

question 3

Multiple Choice

Which of the following is a negation for "For all real numbers r , there exists a number s such that $r s > 10 . "$

• A) There exists a real number r such that for all real numbers s, \(r s \ngtr 10 .\)
• B) For all real numbers r , there does not exist a number s such that \(r s > 10 .\)
• C) There exists real numbers r and s such that \(r s \ngtr 10 .\)
• D) For all real numbers r and \(s , r s \ngtr 10 .\)
• E) There exists a real number r and there does not exist a real number s such that \(r s \ngtr 10\)
• F) For all real numbers r , there exists a number s such that \(r s \ngtr 10 .\)
• G) There exists a real number r such that there does not exist a real number s with \(r s \neq 10\)

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Definitions:

Secure Attachment Style

A form of attachment characterized by confidence in the availability and support of attachment figures, leading to healthy interpersonal relationships.

Attachment Theory

A psychological model that describes the dynamics of long-term and short-term interpersonal relationships between humans, focusing on how childhood bonds affect adult relationships.

Social Components

Elements or factors of society and social life that influence behaviors, attitudes, and interactions among individuals within a community.

Attachment Theory

A psychological theory that explores the importance of early emotional bonds formed between children and their caregivers, affecting individuals' future relationships.