Rewrite each of the following sentences using mathematical notation (∀, ∃, ...) and state whether the sentence is true or false with a brief reason.

(a) For every integer there is a smaller real number.
(b) There exists a real number that is smaller than every integer.

Question

BigK1417 BigK1417

02-09-2019
Mathematics

contestada

Rewrite each of the following sentences using mathematical notation (∀, ∃, ...) and state whether the sentence is true or false with a brief reason.

(a) For every integer there is a smaller real number.
(b) There exists a real number that is smaller than every integer.

Respuesta :

Otras preguntas

List five kinds of cases that come under the judicial power of the United States courts.

write the value of the dijit 5 in 657

how many 5/8 pound bags does it take to make 13 pounds of soil?

2x+8=22 how do I figure out the answer to problem 2x+8=22 ?

Stan works on an assembly line. What effective and appropriate approach would he be wise to use when coping with minor frustrations like hang-ups on a conveyor

Estimate each quotient using compatible numbers.

A cross-country automobile rally is 1,025 kilometers long. At a stopping place the letter had traveled 867 kilometers. How far away was finish line

doors for the small cabinets are 11.5 inches long.doors for the large cabinets are 2.3 times as long as the doors for the small cabinets.how many large doors ca

list the six enternal parts or peripherals of a computer system and identify which are output and which are input devices?

aramisdegaula1977 aramisdegaula1977 · Answer 1 · 2019-09-08T02:08:21+02:00

Answer:

(a) For each integer there is a smaller real number, it is equivalent to the expression: ∀x∈Z, ∃y∈R, so that, real number y is less than the integer number x. (Z represents the set of integers numbers and R represents the set of real numbers)

(b) There is a real number that is smaller than each integer, it is equivalent to the expression: ∃y∈R, such that, ∀x∈Z, that number y has to be less than integer number x. (Z represents the set of integers numbers and R represents the set of real numbers)

Step-by-step explanation:

Rewrite each of the following sentences using mathematical notation (∀, ∃, ...) and state whether the sentence is true or false with a brief reason. (a) For every integer there is a smaller real number. (b) There exists a real number that is smaller than every integer.

Respuesta :

Otras preguntas

Rewrite each of the following sentences using mathematical notation (∀, ∃, ...) and state whether the sentence is true or false with a brief reason.

(a) For every integer there is a smaller real number.
(b) There exists a real number that is smaller than every integer.