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Prove that the formula phi x equals 3x defines a homomorphism Z4 - Z6 but does not define a homomorphism Z4-Z8?

In: Algebra, Proofs [Edit categories]

Relevant answers:

What does x equal if x is 3x equals 18?
3x=18 x=18/3 x=6
What does X equal in 3x equals 2?
3x=2Divide the x over and you get 3 divided by 2 x=3/2
What does x equal in -3x equals 12?
X equals -4 because if you pluged in 12 divided by -3 it equals -4.
3x equals 5 What is does x equal?
Simplifying 3x = 5 Solving 3x = 5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Divide each side by '3'. x = 1.666666667 Simplifying x = 1.666666667...
What does x equal in 3x equals x-10?
3x = x - 10 3x - x = -10 (we put all the Xs on one side) 2x = -10 (we simplify 3x - 1x) x = -10/2 (we isolate x on one side by dividing two out of both sides) x = -5