Math Problem Statement
Consider A={1} and B={1,2,3}, and the following relation R⊂A×B: R={⟨1,1⟩, ⟨1,2⟩, ⟨1,3⟩}
Check all that apply: R is injective R is surjective R is a function None of the other options
Solution
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Set Theory
Relations
Functions
Injectivity
Surjectivity
Formulas
-
Theorems
Definition of Function
Definition of Injectivity
Definition of Surjectivity
Suitable Grade Level
Grades 10-12
Related Recommendation
Understanding Relations between Sets A and B: R₁ = {(x, y) | x < y}
Analyzing Relations: Injectivity, Surjectivity, and Functions for Sets A={1} and B={1,2,3}
Finding Subsets of Cartesian Product A × B of the Form X × Y
Calculate the Composition of Relations R1 and R2 for Sets A, B, and C
Properties of Relations: Symmetry, Transitivity, and Antisymmetry