MAT 299 Southern New Hampshire University Module 3 Math Quiz Answers This quiz contains five questions that cover the assigned textbook sections and materi

MAT 299 Southern New Hampshire University Module 3 Math Quiz Answers This quiz contains five questions that cover the assigned textbook sections and materials in Modules One, Two, and Three. Work in the provided Word document and complete each problem on a separate page. You must show intermediate steps in arriving at your conclusions. MAT 299 Module Three Quiz
General:
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Before beginning this homework, be sure to read the textbook sections and the material
in Modules One, Two, and Three.
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Type your solutions into this document and be sure to show all steps for arriving at your
solution. Just giving a final number is not sufficient to receive full credit.
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You may copy and paste mathematical symbols from the statements of the questions
into your solution. This document was created using the Arial Unicode font.
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These problems are proprietary to SNHU COCE, and they may not be posted on any
non-SNHU website.
•
The Institutional Release Statement in the course shell gives details about SNHU’s use
of systems that compare student submissions to a database of online, SNHU, and other
universities’ documents.
SNHU MAT299
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Module Three Quiz
1. (20 points) Let W represent that a car is white, let N represent that a car is new, and let M
represent that a car is mine. Analyze the logical form of the following statements:
a. If the car is not white and new, then it is mine.
b. The car being white or new is a sufficient condition for it being not mine.
c. The car is mine if and only if it is new and not white.
2. (20 points) Make a truth table for ¬P → (Q ∧ ¬R).
3. (20 points) Consider the statement ∀x∃!y (2x – 3y = 1).
a. Is this true or false if the universe of discourse is x, y ∈ ℚ? Either provide a proof to
show that this is true or provide a counterexample to show that this is false.
b. Is this true or false if the universe of discourse is x, y ∈ ℕ? Either provide a proof to
show that this is true or provide a counterexample to show that this is false.
4. (20 points). Let A = {x, y, z} and B = {w, x, y}.
a. List the elements of ℘(A).
b. Find ℘(A) ∩ ℘(B).
5. (20 points) Let ℱ and be a non-empty families of sets with ℱ ⊆ . Show that ∩ℱ ⊆ ∪ .
SNHU MAT299
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Module Three Quiz

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