Suppose the statement, "if the pentagon is purple, then the circle is green," is true. Assume also that the converse is false. Classify each statement below as true or false (if possible). ? 1. The circle is green. 2 ? ? 2. The pentagon is purple. 3. The pentagon is purple if and only if the circle is green. 4. The pentagon is purple if and only if the circle is not green.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Suppose the statement, "if the pentagon is purple, then the circle is green," is true. Assume also that the converse is false. Classify each statement below as true or false (if possible).
?
1. The circle is green.
?
?
2. The pentagon is purple.
3. The pentagon is purple if and only if the circle is green.
4. The pentagon is purple if and only if the circle is not green.
Transcribed Image Text:Suppose the statement, "if the pentagon is purple, then the circle is green," is true. Assume also that the converse is false. Classify each statement below as true or false (if possible). ? 1. The circle is green. ? ? 2. The pentagon is purple. 3. The pentagon is purple if and only if the circle is green. 4. The pentagon is purple if and only if the circle is not green.
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