What is the negation of the following: "If I form a study group then I raise my grades." A. I work alone and I raise my grades. B. I work alone or I raise my grades. O C. I form a study group or I raise my grades. OD. I form a study group and I lower my grades. OE. I form a study group and I raise my grades. F. If I work alone then I lower my grades.

Algebra and Trigonometry (6th Edition)
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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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What is the negation of the following: "If I form a study group then I raise my grades."
A. I work alone and I raise my grades.
B. I work alone or I raise my grades.
C. I form a study group or I raise my grades.
D. I form a study group and I lower my grades.
E. I form a study group and I raise my grades.
F. If I work alone then I lower my grades.
G. If I raise my grades then I form a study group.
H. If I lower my grades then I work alone.
I. I form a study group or I lower my grades.
O J. If I work alone then I raise my grades.
K. If I form a study group then I raise my grades.
What is the negation of the following: "If r is rational then the decimal expansion of r is repeating."
A. r is rational or the decimal expansion of r is repeating.
B. If r is irrational then the decimal expansion of r is repeating.
C. r is rational and the decimal expansion of r is repeating.
D. If the decimal expansion of r is repeating then r is rational.
E. r is rational or the decimal expansion of r does not repeat.
O F. r is irrational or the decimal expansion of r is repeating.
G. If r is rational then the decimal expansion of r is repeating.
H. r is irrational and the decimal expansion of r is repeating.
I. If the decimal expansion of r does not repeat then r is irrational.
J. If r is irrational then the decimal expansion of r does not repeat.
K. r is rational and the decimal expansion of r does not repeat.
Transcribed Image Text:What is the negation of the following: "If I form a study group then I raise my grades." A. I work alone and I raise my grades. B. I work alone or I raise my grades. C. I form a study group or I raise my grades. D. I form a study group and I lower my grades. E. I form a study group and I raise my grades. F. If I work alone then I lower my grades. G. If I raise my grades then I form a study group. H. If I lower my grades then I work alone. I. I form a study group or I lower my grades. O J. If I work alone then I raise my grades. K. If I form a study group then I raise my grades. What is the negation of the following: "If r is rational then the decimal expansion of r is repeating." A. r is rational or the decimal expansion of r is repeating. B. If r is irrational then the decimal expansion of r is repeating. C. r is rational and the decimal expansion of r is repeating. D. If the decimal expansion of r is repeating then r is rational. E. r is rational or the decimal expansion of r does not repeat. O F. r is irrational or the decimal expansion of r is repeating. G. If r is rational then the decimal expansion of r is repeating. H. r is irrational and the decimal expansion of r is repeating. I. If the decimal expansion of r does not repeat then r is irrational. J. If r is irrational then the decimal expansion of r does not repeat. K. r is rational and the decimal expansion of r does not repeat.
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Step 1

Introduction:

The negation of a statement is the opposite of the given mathematical statement. Negation is represented by a symbol ~.

Given:

logical statements are given.

To find:

Negation of statements.

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