Question #234311
given that R denotes the set of all real numbers, Z the set of all integers, and Z' the set of all positive integers and Z the set of all negative integers, describe each of the following sets. a. {X€R| -5<x<1} b. {X€Z| -5<x<1} c. {X€Z'|-5<x<1} d. {X€Z| -5<x<1}
1
Expert's answer
2021-09-08T06:36:01-0400

a. {XR5<x<1}\{X\in \R|-5<x<1\}

All real numbers in the interval X(5,1).X\in(-5, 1). There are infinite number of elements.


b. {XZ5<x<1}\{X\in \Z|-5<x<1\}

X{4,3,2,1,0}.X\in\{-4, -3, -2, -1, 0\}. There are 5 elements.


c. {XZ+5<x<1}\{X\in \Z^+|-5<x<1\}

X{}.X\in\{\empty\}. There are no elements.


d. {XZ5<x<1}\{X\in \Z^-|-5<x<1\}

X{4,3,2,1}.X\in\{-4, -3, -2, -1\}. There are 4 elements.


Need a fast expert's response?

Submit order

and get a quick answer at the best price

for any assignment or question with DETAILED EXPLANATIONS!

Comments

No comments. Be the first!
LATEST TUTORIALS
APPROVED BY CLIENTS