Let A=$\{-1,0,1\}$ and R be the relati

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Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Relations and Functions

Question:

Let A=$\{-1,0,1\}$ and R be the relation on A defined as R=$\{(x,y): y=x^3\}$. Then R is

Options:

Reflexive

Reflexive and symmetric

Reflexive, symmetric but not transitive

Reflexive, symmetric and transitive

Correct Answer:

Reflexive, symmetric and transitive

Explanation:

$R=\{(-1,-1),(0,0),(1,1)\}$

so R is reflexive, symmetric and transitive.