Mathematics · Relations and Functions
Consider the following statements regarding sets A and B: Statement-I: A function f: A → B is said to be one-one (injective) if and only if f(x) ≠ f(y) ⇒ x ≠ y. Statement-II: A relation f: A → B is said to be a function if x ≠ y ⇒ f(x) ≠ f(y). Which one of the following options is true?
- 1Only Statement-I is true✓
- 2Only Statement-II is true
- 3Both Statement-I and Statement-II are true
- 4Neither Statement-I nor Statement-II is true
Correct answer
Only Statement-I is true
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