Let A be a set. Show that × A = A × =

ISBN: 9780073383095 37

Solution for problem 31E Chapter 2.1

Discrete Mathematics and Its Applications | 7th Edition

Discrete Mathematics and Its Applications | 7th Edition

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Problem 31E

Let A be a set. Show that ∅ × A = A × ∅ = ∅

Step-by-Step Solution:

Step 1:

Let A be a set.Then the objective is to show that $\Phi{}\times{}A=A\times{}\Phi{}=\Phi{}$

Step 2:

Here we prove the result by using the definition of the set $A\times{}B$

$A\times{}B=\{(x,y)\ |\ x\in{}A\ and\ y\in{}B\}$

Step 3 of 3

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