3. Rephrase the following statements in the form "If P, then Q" or "P iff Q". a.) If it is hot outside, you buy an ice cream cone, and if you buy an ice cream cone, it is hot outside. b.) c.) d.) e.) It rains if it is a weekend day, and it is a weekend day if it rains. If you read the news paper every day, you will be informed and conversely. To get tenure as a professor, it is sufficient to be world-famous. It is necessary to walk 8 miles to get to the top of the Peak.

3. Rephrase the following statements in the form "If P, then Q" or "P iff Q". a.) If it is hot outside, you buy an ice cream cone, and if you buy an ice cream cone, it is hot outside. b.) c.) d.) e.) It rains if it is a weekend day, and it is a weekend day if it rains. If you read the news paper every day, you will be informed and conversely. To get tenure as a professor, it is sufficient to be world-famous. It is necessary to walk 8 miles to get to the top of the Peak.

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter1: Fundamentals

Section1.1: Sets

Problem 36E: Prove or disprove that AB=AC implies B=C.

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