To determine To write: The negation of the statement “All Acuras are Hondas”. Answer The negation of the statement “All Acuras are Hondas” is “Some Acuras are not Hondas”. Explanation Result used: A statement which gives the exact opposite meaning of the given statement is called its negation The negation of quantified statements is summarized as follows. Form of statement Form of negation All are Some are not None are Some are Some are None are Some are not All are Calculation: The given statement is “All Acuras are Hondas”. Using the above table from the result, the negation of “All are” is “Some are not”. That is, “All Acuras are Hondas” can be written as “Some Acuras are not Hondas”. Therefore, the negation of the given statement is “Some Acuras are not Hondas”.

10th Edition

ISBN: 9780135834954

Author: Angel

Publisher: PEARSON

See similar textbooks

Concept explainers

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.

Videos

Textbook Question

Chapter 3, Problem 1RE

In Exercises 1-4, write the negation of the statement.

1. All Acuras are Hondas.

Expert Solution & Answer

To determine

To write: The negation of the statement “All Acuras are Hondas”.

Answer to Problem 1RE

The negation of the statement “All Acuras are Hondas” is “Some Acuras are not Hondas”.

Explanation of Solution

Result used:

A statement which gives the exact opposite meaning of the given statement is called its negation

The negation of quantified statements is summarized as follows.

Form of statement	Form of negation
All are	Some are not
None are	Some are
Some are	None are
Some are not	All are

Calculation:

The given statement is “All Acuras are Hondas”.

Using the above table from the result, the negation of “All are” is “Some are not”.

That is, “All Acuras are Hondas” can be written as “Some Acuras are not Hondas”.

Therefore, the negation of the given statement is “Some Acuras are not Hondas”.

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Chapter 3.7, Problem 30E

Chapter 3, Problem 2RE

Students have asked these similar questions

Practice k Help ises A 96 Anewer The probability that you get a sum of at least 10 is Determine the number of ways that the specified event can occur when two number cubes are rolled. 1. Getting a sum of 9 or 10 3. Getting a sum less than 5 2. Getting a sum of 6 or 7 4. Getting a sum that is odd Tell whether you would use the addition principle or the multiplication principle to determine the total number of possible outcomes for the situation described. 5. Rolling three number cubes 6. Getting a sum of 10 or 12 after rolling three number cubes A set of playing cards contains four groups of cards designated by color (black, red, yellow, and green) with cards numbered from 1 to 14 in each group. Determine the number of ways that the specified event can occur when a card is drawn from the set. 7. Drawing a 13 or 14 9. Drawing a number less than 4 8. Drawing a yellow or green card 10. Drawing a black, red, or green car The spinner is divided into equal parts. Find the specified…

Problem 1.We consider a two-period binomial model with the following properties: each period lastsone (1) year and the current stock price is S0 = 4. On each period, the stock price doubleswhen it moves up and is reduced by half when it moves down. The annual interest rateon the money market is 25%. We consider four options on this market: A European call option with maturity T = 2 years and strike price K = 5; A European put option with maturity T = 2 years and strike price K = 5; An American call option with maturity T = 2 years and strike price K = 5; An American put option with maturity T = 2 years and strike price K = 5.(a) Find the price at time 0 of both European options.(b) Find the price at time 0 of both American options. Compare your results with (a)and comment.(c) For each of the American options, describe the optimal exercising strategy.(d) We assume that you sell the American put to a market participant A for the pricefound in (b). Explain how you act on the market…

What is the standard scores associated to the left of z is 0.1446

Chapter 3 Solutions

A SURVEY OF MATH 18 WK MML CODE

Ch. 3.1 - In exercises 1-6, fill in the blanks with an...Ch. 3.1 - In exercises 1-6, fill in the blanks with an...Ch. 3.1 - In exercises 1-6, fill in the blanks with an...Ch. 3.1 - In exercises 1-6, fill in the blanks with an...Ch. 3.1 - In exercises 1-6, fill in the blanks with an...Ch. 3.1 - In exercises 1-6, fill in the blanks with an...Ch. 3.1 - Practice the Skills/Problem Solving In Exercises...Ch. 3.1 - Practice the Skills/Problem Solving In Exercises...Ch. 3.1 - Practice the Skills/Problem Solving In Exercises...Ch. 3.1 - Practice the Skills/Problem Solving In Exercises...

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, subject and related others by exploring similar questions and additional content below.