AI Tutor
Back to Sets

Problem 3

Avg difficulty 3.0

Let the sets

A\displaystyle A ={(x,y)∈Z2∣5x+2y+3=0} and\displaystyle=\{(x,y)\in\mathbb{Z}^{2}\mid 5x+2y+3=0\}\text{ and} B\displaystyle B ={(x,y)∈[0,1]2∣2x2+5x+2y+1=0}.\displaystyle=\{(x,y)\in[0,1]^{2}\mid 2x^{2}+5x+2y+1=0\}.

Find the cardinality of the following sets. If the set is finite, list all elements of the set.

  1. A∩BA\cap B

  2. A∪BA\cup B

Kan, A Complete Introduction to Abstract Algebra, Preliminaries, Sets, Problem 3

AI Tutor

Adapted from A Complete Introduction to Abstract Algebra © 2022–2026 Kan Onn Kit. Licensed under CC BY-SA 4.0. Source: A Complete Introduction to Abstract Algebra. Imported at revision a559e8b.