Answer this and I’ll give more points!! Check whether this binary operation on set Q is both commutative and associative for all a, b € Q
a*b=(a-b)^4

(i) a∗b=a−b

Check commutative is

a∗b=b∗a

a∗b=a−b

b∗a=b−a

Since, a∗b



=b∗a

∗ is not commutative.

Check associative

∗ is associative if

(a∗b)∗c=a∗(b∗c)

(a∗b)∗c=(a−b)

∗

c=(a−b)−c=a−b−c

a∗(b∗c)=a∗(b−c)=a−(b−c)=a−b+c

Since (a∗b)∗c



=a∗(b∗c)

Step-by-step explanation:

d is the only accurate one

step-by-step explanation:

b. b < 1 might be the correct answer