Log out Go to App
Go to App

Learning Materials

Features

Discover

Chapter 2: Q5 (page 34)

State the hypothesis and the conclusion of each conditional.

if

Short Answer

Expert verified

The hypothesis is and the conclusion is .

Step by step solution

01

Step 1. Hypothesis and the conclusion.

The hypothesis and the conclusion of a conditional statement are where the hypothesis is the phrase immediately following by the word if and the conclusion is the phrase immediately following by the word then.

02

Step 2. Symbolic representation.

If p represents the hypothesis and q represents the conclusion, then the basic form of an if-then statement is “If p, then q”. For example, in the statement “If today is Friday, then tomorrow is Saturday”, “today is Friday” is the Hypothesis, and “tomorrow is Saturday” is the Conclusion.

03

Step 3. Rewrite the statement.

The given statement “if ” can be rewritten as “If , then ”.

04

Step 4. Identification of Hypothesis and the conclusion.

Since, “” is followed by “If” and “” is followed by then “then” thus, the hypothesis is and the conclusion is .

Hence, the hypothesis is and the conclusion is .

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.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

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

State which definition, postulate, or theorem justifies the statement about the diagram.

If D is the midpoint of BC¯, then BD=12BC.

State the hypothesis and the conclusion of each conditional.

If , then .

Copy everything shown and supply missing statements and reasons.

Given: DW=ON

Prove: DO=WN

Proof:

Justify each step.

3a2=653a=125a=45

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

If ∠A≅∠B, then m∠A=m∠B.
See all solutions

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Read Explanation

Geometry

Read Explanation

Mechanics Maths

Read Explanation

Probability and Statistics

Read Explanation

Statistics

Read Explanation

Logic and Functions

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.

Sign-up for free