/*! 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} Q10. Find a counterexample for each c... [FREE SOLUTION] | 91影视

91影视

Find a counterexample for each conditional statement.

If Jack is at the park, then he is flying a kite.

Short Answer

Expert verified

A counterexample to the given conditional statement can be when Jack is running as a form of physical exercise, at the park.

Step by step solution

01

Step 1. State the concept.

One does not go to the park just to fly kites.

02

Step 2. List the given data.

The given statement is 鈥淚f Jack is at the park, then he is flying a kite鈥. Here, the hypothesis is 鈥淛ack is at the park鈥 and the conclusion is 鈥渉e is flying a kite鈥.

03

Step 3. Simplify the given statement.

The given statement implies that Jack only goes to the park to fly a kite.

04

Step 4. Give a counterexample.

A park is a place where there are many things to do. One can enjoy the rides if there are any, one can play sports like cricket or soccer with their friends. One can even go to the park for a run or exercise.

So, Jack can go to the park to do any of these. Suppose that Jack goes to the park to run as a form of physical exercise. So, it is not true that whenever he is at the park, he must be flying a kite.

So, the hypothesis, 鈥淛ack is at the park鈥 is true. However, the conclusion, 鈥渉e is flying a kite鈥 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

See all solutions

Recommended explanations on Math Textbooks

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.