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Write each symbolic statement as an English sentence. Use p, q, r, s, and t as defined below. p : Taylor Swift is a singer. q : Taylor Swift is not a songwriter. r: Taylor Swift is an actress. s. Taylor Swift plays the piano. t : Taylor Swift does not play the guitar. ( r ∧ q ) ↔ q

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Mathematical Excursions (MindTap C...

4th Edition
Richard N. Aufmann + 3 others
Publisher: Cengage Learning
ISBN: 9781305965584

Solutions

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Section
BuyFindarrow_forward

Mathematical Excursions (MindTap C...

4th Edition
Richard N. Aufmann + 3 others
Publisher: Cengage Learning
ISBN: 9781305965584
Chapter 3.1, Problem 37ES
Textbook Problem
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Write each symbolic statement as an English sentence. Use p, q, r, s, and t as defined below.p: Taylor Swift is a singer.q: Taylor Swift is not a songwriter.r: Taylor Swift is an actress.s. Taylor Swift plays the piano.t: Taylor Swift does not play the guitar. ( r ∧ q ) ↔ q

To determine

The word statement for the symbolic statement.

Explanation of Solution

Given information:

The symbolic statement is(rp)q.

p: Taylor Swift is a singer.

q: Taylor Swift is not a songwriter.

r: Taylor Swift is an actress.

s: Taylor Swift plays the piano.

t: Taylor Swift does not play the guitar.

Example table:

The table of some symbolic forms and its parenthesis to indicate groupings:

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 Symbolic form The parenthesis indicate that: p∧(q∨∼r) q and−r are grouped together