/*! 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} Q31. Example 3 Determine whether a va... [FREE SOLUTION] | 91影视

91影视

Example 3 Determine whether a valid conclusion follows from the statement below for each given condition. If a valid conclusion does not follow, write no valid conclusion and explain why.

If Belinda scores higher than 90% on the exam, then she will receive an A for the course.

Belinda receives a B for the course.

Short Answer

Expert verified

Since the conclusion is false for the given statement and the given condition and the hypothesis may or may not be true, there is no valid conclusion.

Step by step solution

01

Step 1. State the concept.

In an if-then statement, the part of the statement immediately following 鈥渋f鈥 is the hypothesis, and the part of the statement immediately following 鈥渢hen鈥 is the conclusion.

02

Step 2. List the given data.

The given statement is 鈥淚f Belinda scores higher than 90% on the exam, then she will receive an A for the course鈥. The given condition is 鈥淏elinda receives a B for the course鈥.

03

Step 3. Identify the hypothesis and conclusion.

The given statement is an if-then statement. Then, the hypothesis is 鈥淏elinda scores higher than 90% on the exam鈥 and the conclusion is 鈥渟he will receive an A for the course鈥.

04

Step 4. Form a valid conclusion.

The given condition is 鈥淏elinda receives a B for the course鈥, which implies that the conclusion is false.

Now, the hypothesis may or may not be true. If the hypothesis is true, then the statement is false. However, if the hypothesis is false, then the statement is true.

So, there is no valid conclusion for the given statement and the given condition.

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

Study anywhere. Anytime. Across all devices.