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Relations & Functions · Question 82 of 125

Question 82

MediumOriginal question

Read the two statements and choose the correct option.

I. If f:A→Bf : A \to B is one-one and AA, BB are finite, then AA has no more elements than BB.

II. A function f:R→Rf : \mathbb{R} \to \mathbb{R} that is strictly increasing is one-one.

Options for question 82

Show the answer and explanation
CorrectNot quiteAnswer C

Correct answer: C

Explanation

  1. I: distinct elements need distinct images, so ∣A∣≤∣B∣|A| \le |B|. True.

  2. II: if a<ba < b then f(a)<f(b)f(a) < f(b), so f(a)≠f(b)f(a) \ne f(b). True.

Concept
Conditions for one-one
Typical time
90 s
Your time
—
The rule this testsOne-one functions
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Ten questions from Relations & Functions, at your own pace.

Practise this chapter →

Ten questions from Relations & Functions, at your own pace.