Geometry, Student Edition
Geometry, Student Edition
1st Edition
ISBN: 9780078884849
Author: McGraw-Hill, McGraw Hill
Publisher: Glencoe/McGraw-Hill School Pub Co
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Chapter 2.4, Problem 24PPS
To determine

To find: Whether the stated conclusion is valid based on the given information, if not, write invalid, and use Venn diagram.

Expert Solution & Answer
Check Mark

Answer to Problem 24PPS

The conclusion is invalid.

Explanation of Solution

Given:

Michelle does not live by the beach.

Conclusion: Michelle is a Missouri resident.

Calculation:

Draw a Venn diagram. According to the conditional, if one is a Missouri resident, then one does not live by a beach.” So, draw a circle for “Missouri ” that does not intersect the circle for “Beach.”

  Geometry, Student Edition, Chapter 2.4, Problem 24PPS , additional homework tip  1

Use Law of Detachment.

“if pq is a true statement and p is true, then q is true.”

Law of Detachment shows “if p is true, then q is true.” However, q being true does not necessarily mean that p is true. M is outside the circle for “Beach.” It is possible that M is inside or outside the circle for “Missouri.” So, M might not be Missouri resident.

  Geometry, Student Edition, Chapter 2.4, Problem 24PPS , additional homework tip  2

Therefore, the statement is invalid.

Chapter 2 Solutions

Geometry, Student Edition

Ch. 2.1 - Prob. 2CYUCh. 2.1 - Prob. 3CYUCh. 2.1 - Prob. 4CYUCh. 2.1 - Prob. 5CYUCh. 2.1 - Prob. 6CYUCh. 2.1 - Prob. 7CYUCh. 2.1 - Prob. 8CYUCh. 2.1 - Prob. 9CYUCh. 2.1 - Prob. 10CYUCh. 2.1 - Prob. 11CYUCh. 2.1 - Prob. 12CYUCh. 2.1 - Prob. 13CYUCh. 2.1 - Prob. 14PPSCh. 2.1 - Prob. 15PPSCh. 2.1 - Prob. 16PPSCh. 2.1 - Prob. 17PPSCh. 2.1 - Prob. 18PPSCh. 2.1 - Prob. 19PPSCh. 2.1 - Prob. 20PPSCh. 2.1 - Prob. 21PPSCh. 2.1 - Prob. 22PPSCh. 2.1 - Prob. 23PPSCh. 2.1 - Prob. 24PPSCh. 2.1 - Prob. 25PPSCh. 2.1 - Prob. 26PPSCh. 2.1 - Prob. 27PPSCh. 2.1 - Prob. 28PPSCh. 2.1 - Prob. 29PPSCh. 2.1 - Prob. 30PPSCh. 2.1 - Prob. 31PPSCh. 2.1 - Prob. 32PPSCh. 2.1 - Prob. 33PPSCh. 2.1 - Prob. 34PPSCh. 2.1 - Prob. 35PPSCh. 2.1 - Prob. 36PPSCh. 2.1 - Prob. 37PPSCh. 2.1 - Prob. 38PPSCh. 2.1 - Prob. 39PPSCh. 2.1 - Prob. 40PPSCh. 2.1 - Prob. 41PPSCh. 2.1 - Prob. 42PPSCh. 2.1 - Prob. 43PPSCh. 2.1 - Prob. 44PPSCh. 2.1 - Prob. 45PPSCh. 2.1 - Prob. 46PPSCh. 2.1 - Prob. 47PPSCh. 2.1 - Prob. 48PPSCh. 2.1 - Prob. 49PPSCh. 2.1 - 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Prob. 3ACYPCh. 2.3 - Prob. 3BCYPCh. 2.3 - Prob. 4ACYPCh. 2.3 - Prob. 4BCYPCh. 2.3 - Prob. 1CYUCh. 2.3 - Prob. 2CYUCh. 2.3 - Prob. 3CYUCh. 2.3 - Prob. 4CYUCh. 2.3 - Prob. 5CYUCh. 2.3 - Prob. 6CYUCh. 2.3 - Prob. 7CYUCh. 2.3 - Prob. 8CYUCh. 2.3 - Prob. 9CYUCh. 2.3 - Prob. 10CYUCh. 2.3 - Prob. 11CYUCh. 2.3 - Prob. 12CYUCh. 2.3 - Prob. 13CYUCh. 2.3 - Prob. 14CYUCh. 2.3 - Prob. 15CYUCh. 2.3 - Prob. 16CYUCh. 2.3 - Prob. 17CYUCh. 2.3 - Prob. 18PPSCh. 2.3 - Prob. 19PPSCh. 2.3 - Prob. 20PPSCh. 2.3 - Prob. 21PPSCh. 2.3 - Prob. 22PPSCh. 2.3 - Prob. 23PPSCh. 2.3 - Prob. 24PPSCh. 2.3 - Prob. 25PPSCh. 2.3 - Prob. 26PPSCh. 2.3 - Prob. 27PPSCh. 2.3 - Prob. 28PPSCh. 2.3 - Prob. 29PPSCh. 2.3 - Prob. 30PPSCh. 2.3 - Prob. 31PPSCh. 2.3 - Prob. 32PPSCh. 2.3 - Prob. 33PPSCh. 2.3 - Prob. 34PPSCh. 2.3 - Prob. 35PPSCh. 2.3 - Prob. 36PPSCh. 2.3 - Prob. 37PPSCh. 2.3 - Prob. 38PPSCh. 2.3 - Prob. 39PPSCh. 2.3 - Prob. 40PPSCh. 2.3 - Prob. 41PPSCh. 2.3 - Prob. 42PPSCh. 2.3 - Prob. 43PPSCh. 2.3 - Prob. 44PPSCh. 2.3 - Prob. 45PPSCh. 2.3 - 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Prob. 1CYUCh. 2.4 - Prob. 2CYUCh. 2.4 - Prob. 3CYUCh. 2.4 - Prob. 4CYUCh. 2.4 - Prob. 5CYUCh. 2.4 - Prob. 6CYUCh. 2.4 - Prob. 7CYUCh. 2.4 - Prob. 8CYUCh. 2.4 - Prob. 9CYUCh. 2.4 - Prob. 10PPSCh. 2.4 - Prob. 11PPSCh. 2.4 - Prob. 12PPSCh. 2.4 - Prob. 13PPSCh. 2.4 - Prob. 14PPSCh. 2.4 - Prob. 15PPSCh. 2.4 - Prob. 16PPSCh. 2.4 - Prob. 17PPSCh. 2.4 - Prob. 18PPSCh. 2.4 - Prob. 19PPSCh. 2.4 - Prob. 20PPSCh. 2.4 - Prob. 21PPSCh. 2.4 - Prob. 22PPSCh. 2.4 - Prob. 23PPSCh. 2.4 - Prob. 24PPSCh. 2.4 - Prob. 25PPSCh. 2.4 - Prob. 26PPSCh. 2.4 - Prob. 27PPSCh. 2.4 - Prob. 28PPSCh. 2.4 - Prob. 29PPSCh. 2.4 - Prob. 30PPSCh. 2.4 - Prob. 31PPSCh. 2.4 - Prob. 32PPSCh. 2.4 - Prob. 33PPSCh. 2.4 - Prob. 34PPSCh. 2.4 - Prob. 35PPSCh. 2.4 - Prob. 36PPSCh. 2.4 - Prob. 37PPSCh. 2.4 - Prob. 38PPSCh. 2.4 - Prob. 39PPSCh. 2.4 - Prob. 40PPSCh. 2.4 - Prob. 41PPSCh. 2.4 - Prob. 42HPCh. 2.4 - Prob. 43HPCh. 2.4 - Prob. 44HPCh. 2.4 - Prob. 45HPCh. 2.4 - Prob. 46HPCh. 2.4 - Prob. 47STPCh. 2.4 - Prob. 48STPCh. 2.4 - Prob. 49STPCh. 2.4 - Prob. 50STPCh. 2.4 - Prob. 51SPRCh. 2.4 - Prob. 52SPRCh. 2.4 - Prob. 53SPRCh. 2.4 - Prob. 54SPRCh. 2.4 - Prob. 55SPRCh. 2.4 - Prob. 56SPRCh. 2.4 - Prob. 57SPRCh. 2.4 - Prob. 58SPRCh. 2.4 - Prob. 59SRCh. 2.4 - Prob. 60SRCh. 2.4 - Prob. 61SRCh. 2.4 - Prob. 62SRCh. 2.4 - Prob. 63SRCh. 2.4 - Prob. 64SRCh. 2.5 - Prob. 1ACYPCh. 2.5 - Prob. 1BCYPCh. 2.5 - Prob. 2ACYPCh. 2.5 - Prob. 2BCYPCh. 2.5 - Prob. 3CYPCh. 2.5 - Prob. 1CYUCh. 2.5 - Prob. 2CYUCh. 2.5 - Prob. 3CYUCh. 2.5 - Prob. 4CYUCh. 2.5 - Prob. 5CYUCh. 2.5 - Prob. 6CYUCh. 2.5 - Prob. 7CYUCh. 2.5 - Prob. 8CYUCh. 2.5 - Prob. 9CYUCh. 2.5 - Prob. 10CYUCh. 2.5 - Prob. 11CYUCh. 2.5 - Prob. 12CYUCh. 2.5 - Prob. 13CYUCh. 2.5 - Prob. 14CYUCh. 2.5 - Prob. 15CYUCh. 2.5 - Prob. 16PPSCh. 2.5 - Prob. 17PPSCh. 2.5 - Prob. 18PPSCh. 2.5 - Prob. 19PPSCh. 2.5 - Prob. 20PPSCh. 2.5 - Prob. 21PPSCh. 2.5 - Prob. 22PPSCh. 2.5 - Prob. 23PPSCh. 2.5 - Prob. 24PPSCh. 2.5 - Prob. 25PPSCh. 2.5 - Prob. 26PPSCh. 2.5 - Prob. 27PPSCh. 2.5 - Prob. 28PPSCh. 2.5 - Prob. 29PPSCh. 2.5 - 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Prob. 7CYUCh. 2.6 - Prob. 8CYUCh. 2.6 - Prob. 9PPSCh. 2.6 - Prob. 10PPSCh. 2.6 - Prob. 11PPSCh. 2.6 - Prob. 12PPSCh. 2.6 - Prob. 13PPSCh. 2.6 - Prob. 14PPSCh. 2.6 - Prob. 15PPSCh. 2.6 - Prob. 16PPSCh. 2.6 - Prob. 17PPSCh. 2.6 - Prob. 18PPSCh. 2.6 - Prob. 19PPSCh. 2.6 - Prob. 20PPSCh. 2.6 - Prob. 21PPSCh. 2.6 - Prob. 22PPSCh. 2.6 - Prob. 23PPSCh. 2.6 - Prob. 24PPSCh. 2.6 - Prob. 25PPSCh. 2.6 - Prob. 26PPSCh. 2.6 - Prob. 27PPSCh. 2.6 - Prob. 28PPSCh. 2.6 - Prob. 29PPSCh. 2.6 - Prob. 30PPSCh. 2.6 - Prob. 31PPSCh. 2.6 - Prob. 32PPSCh. 2.6 - Prob. 33PPSCh. 2.6 - Prob. 34PPSCh. 2.6 - Prob. 35PPSCh. 2.6 - Prob. 36HPCh. 2.6 - Prob. 37HPCh. 2.6 - Prob. 38HPCh. 2.6 - Prob. 39HPCh. 2.6 - Prob. 40HPCh. 2.6 - Prob. 41HPCh. 2.6 - Prob. 42STPCh. 2.6 - Prob. 43STPCh. 2.6 - Prob. 44STPCh. 2.6 - Prob. 45STPCh. 2.6 - Prob. 46SPRCh. 2.6 - Prob. 47SPRCh. 2.6 - Prob. 48SPRCh. 2.6 - Prob. 49SPRCh. 2.6 - Prob. 50SPRCh. 2.6 - Prob. 51SPRCh. 2.6 - Prob. 52SPRCh. 2.6 - Prob. 53SPRCh. 2.6 - Prob. 54SPRCh. 2.6 - Prob. 55SPRCh. 2.6 - Prob. 56SRCh. 2.6 - Prob. 57SRCh. 2.6 - Prob. 58SRCh. 2.7 - Prob. 1CYPCh. 2.7 - Prob. 2CYPCh. 2.7 - Prob. 1CYUCh. 2.7 - Prob. 2CYUCh. 2.7 - Prob. 3CYUCh. 2.7 - Prob. 4PPSCh. 2.7 - Prob. 5PPSCh. 2.7 - Prob. 6PPSCh. 2.7 - Prob. 7PPSCh. 2.7 - Prob. 8PPSCh. 2.7 - Prob. 9PPSCh. 2.7 - Prob. 10PPSCh. 2.7 - Prob. 11PPSCh. 2.7 - Prob. 12PPSCh. 2.7 - Prob. 13PPSCh. 2.7 - Prob. 14PPSCh. 2.7 - Prob. 15PPSCh. 2.7 - Prob. 16PPSCh. 2.7 - Prob. 17HPCh. 2.7 - Prob. 18HPCh. 2.7 - Prob. 19HPCh. 2.7 - Prob. 20HPCh. 2.7 - Prob. 21HPCh. 2.7 - Prob. 22HPCh. 2.7 - Prob. 23STPCh. 2.7 - Prob. 24STPCh. 2.7 - Prob. 25STPCh. 2.7 - Prob. 26STPCh. 2.7 - Prob. 27SPRCh. 2.7 - Prob. 28SPRCh. 2.7 - Prob. 29SPRCh. 2.7 - Prob. 30SPRCh. 2.7 - Prob. 31SPRCh. 2.7 - Prob. 32SPRCh. 2.7 - Prob. 33SPRCh. 2.7 - Prob. 34SRCh. 2.7 - Prob. 35SRCh. 2.7 - Prob. 36SRCh. 2.8 - Prob. 1CYPCh. 2.8 - Prob. 2CYPCh. 2.8 - Prob. 3CYPCh. 2.8 - Prob. 4CYPCh. 2.8 - Prob. 1CYUCh. 2.8 - Prob. 2CYUCh. 2.8 - Prob. 3CYUCh. 2.8 - Prob. 4CYUCh. 2.8 - Prob. 5CYUCh. 2.8 - Prob. 6CYUCh. 2.8 - Prob. 7CYUCh. 2.8 - Prob. 8PPSCh. 2.8 - Prob. 9PPSCh. 2.8 - Prob. 10PPSCh. 2.8 - Prob. 11PPSCh. 2.8 - Prob. 12PPSCh. 2.8 - Prob. 13PPSCh. 2.8 - Prob. 14PPSCh. 2.8 - Prob. 15PPSCh. 2.8 - Prob. 16PPSCh. 2.8 - Prob. 17PPSCh. 2.8 - Prob. 18PPSCh. 2.8 - Prob. 19PPSCh. 2.8 - Prob. 20PPSCh. 2.8 - Prob. 21PPSCh. 2.8 - Prob. 22PPSCh. 2.8 - Prob. 23PPSCh. 2.8 - Prob. 24PPSCh. 2.8 - Prob. 25PPSCh. 2.8 - Prob. 26PPSCh. 2.8 - Prob. 27PPSCh. 2.8 - Prob. 28PPSCh. 2.8 - Prob. 29PPSCh. 2.8 - Prob. 30PPSCh. 2.8 - Prob. 31HPCh. 2.8 - Prob. 32HPCh. 2.8 - Prob. 33HPCh. 2.8 - Prob. 34HPCh. 2.8 - Prob. 35HPCh. 2.8 - Prob. 36STPCh. 2.8 - Prob. 37STPCh. 2.8 - Prob. 38STPCh. 2.8 - Prob. 39STPCh. 2.8 - Prob. 40SPRCh. 2.8 - Prob. 41SPRCh. 2.8 - Prob. 42SPRCh. 2.8 - Prob. 43SPRCh. 2.8 - Prob. 44SPRCh. 2.8 - Prob. 45SPRCh. 2.8 - Prob. 46SPRCh. 2.8 - Prob. 47SPRCh. 2.8 - Prob. 48SPRCh. 2.8 - Prob. 49SRCh. 2.8 - Prob. 50SRCh. 2.8 - Prob. 51SRCh. 2.8 - Prob. 52SRCh. 2.8 - Prob. 53SRCh. 2 - Prob. 1GRFCCh. 2 - 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Prob. 18SGRCh. 2 - Prob. 19SGRCh. 2 - Prob. 20SGRCh. 2 - Prob. 21SGRCh. 2 - Prob. 22SGRCh. 2 - Prob. 23SGRCh. 2 - Prob. 24SGRCh. 2 - Prob. 25SGRCh. 2 - Prob. 26SGRCh. 2 - Prob. 27SGRCh. 2 - Prob. 28SGRCh. 2 - Prob. 29SGRCh. 2 - Prob. 30SGRCh. 2 - Prob. 31SGRCh. 2 - Prob. 32SGRCh. 2 - Prob. 33SGRCh. 2 - Prob. 34SGRCh. 2 - Prob. 35SGRCh. 2 - Prob. 36SGRCh. 2 - Prob. 37SGRCh. 2 - Prob. 38SGRCh. 2 - Prob. 39SGRCh. 2 - Prob. 40SGRCh. 2 - Prob. 41SGRCh. 2 - Prob. 42SGRCh. 2 - Prob. 43SGRCh. 2 - Prob. 1PTCh. 2 - Prob. 2PTCh. 2 - Prob. 3PTCh. 2 - Prob. 4PTCh. 2 - Prob. 5PTCh. 2 - Prob. 6PTCh. 2 - Prob. 7PTCh. 2 - Prob. 8PTCh. 2 - Prob. 9PTCh. 2 - Prob. 10PTCh. 2 - Prob. 11PTCh. 2 - Prob. 12PTCh. 2 - Prob. 13PTCh. 2 - Prob. 14PTCh. 2 - Prob. 15PTCh. 2 - Prob. 16PTCh. 2 - Prob. 1ECh. 2 - Prob. 2E

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