/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q21 Tell whether each statement is t... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 2: Q21 (page 35)

Tell whether each statement is true or false. Then write the converse and tell whether it is true or false.

If Pam lives in Chicago, then she lives in Illinois.

Short Answer

Expert verified

The statement "If Pam lives in Chicago, then she lives in Illinois" is true.

The converse of the given statement 鈥淚f Pam lives in Illinois, then she lives in Chicago鈥� is false.

Step by step solution

01

Step 1. Converse of a conditional.

The converse of the conditional is obtained by interchanging the hypothesis and the conclusion. If p represents the hypothesis and q represents the conclusion, then converse of the statement 鈥淚f p, then q鈥� will be 鈥淚f q, then p鈥�.

02

Step 2. State whether the statement is true or not.

In the statement "If Pam lives in Chicago, then she lives in Illinois", it is given that Pam lives in Chicago. And Chicago is in Illinois. Therefore, Pam lives in Illinois.

Hence, the statement is true.

03

Step 3. Write the converse.

Consider p is "Pam lives in Chicago" and q is "she lives in Illinois".

The converse is of the form "if q, then p鈥�.

Therefore, the converse of the given statement is 鈥� 鈥淚f Pam lives in Illinois, then she lives in Chicago.鈥�

04

Step 4. State whether the converse is true or not.

In converse, it is given that Pam lives in Illinois but there are other places than Chicago in Illinois.

Therefore, she can live anywhere in Illinois other than Chicago.

Therefore, the converse of the given statement is false.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

a. In each exercise use the information given to conclude that two angles are congruent.

b. Name or state the definition or theorem that justifies your conclusion.

鈭�6 is complementary to 鈭�10; 鈭�7 is complementary to 鈭�10.

Solve each system of equations by the substitution method.

x=8+3y2x-5y=8

Two supplementary angles are congruent. Find their measures.

Can you conclude from the information given for the exercise that XY鈫�鈯�XZ鈫�?

鈭�1and鈭�3 are complementary.

Cut the Mobius band lengthwise down the middle. (Start at a point midway between the edges and cut around the band.) What is the result? Cut the band a second time down the middle. Write a sentence or two describing what happens.
See all solutions

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Read Explanation

Discrete Mathematics

Read Explanation

Applied Mathematics

Read Explanation

Pure Maths

Read Explanation

Geometry

Read Explanation

Calculus

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.