EduFarming
Your list · 0हिं

Type at least two letters. Press Esc to close.

↑↓ navigate↵ openTAB cycle filter

Relations & Functions · Question 41 of 125

Question 41

HardOriginal question

RR is the relation on N\mathbb{N} given by aRba \mathrel{R} b if b=a+1b = a + 1. Which of these describes RR?

Options for question 41

Show the answer and explanation
CorrectNot quiteAnswer D

Correct answer: D

Explanation

  1. a=a+1a = a + 1 never holds, and (1,2)(1, 2) is in RR without (2,1)(2, 1).

  2. (1,2)(1, 2) and (2,3)(2, 3) are in RR but (1,3)(1, 3) is not, since 3≠1+13 \ne 1 + 1.

Worth noting

A step of 1 followed by another step of 1 is a step of 2, which the rule does not allow.

Concept
Testing a relation given by a rule
Typical time
120 s
Your time
—
The rule this testsTypes of relations
Practise this chapter →

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

Practise this chapter →

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