Question

Because of the commutative property of multiplication, it is true that

Answer 1

Answer:

It is Commutative

Step-by-step explanation:

An operation ∆ is said to be Commutative if a∆b=b∆a ∀ a,b ∈ ℝ.

Given the operation ∆ defined by:

a∆b=a X b

$a=\frac{3}{4}, b=4$

a∆b=$\frac{3}{4}X4$

$=\frac{3X4}{4}$=3

Similarly, for the right hand side.

$(\frac{4}{3})^{-1}=\frac{3}{4}$

Therefore:

b∆a=$4X \frac{3}{4}$

$=\frac{4X3}{4}$=3

These are the two ways of solving this problem and we have in fact shown that the operation is commutative as:

a∆b=b∆a=3