Answer and Step-by-step explanation:
Every group homomorphism ϕ:Zn→Zm extends in a unique way to a linear transformation T:Qn→Qm of vector spaces over Q.
Moreover, ϕ is injective iff T is injective. But T being injective implies n≤m.
Applying this to both ϕ and ϕ−1, we conclude that n≤m≤n.
NOTE:
The proof and step-by-step explanation is in the attachment below
Answer:
Option B
Step-by-step explanation:
Answer:
No, it does not.
Step-by-step explanation:
It's a linear function, with a slope of -3 (down 3 for every new X as you move right)
Answer:
x > 7
Step-by-step explanation:
Given
4x + 6 < 6x - 8 ( subtract 6x from both sides )
- 2x + 6 < - 8 ( subtract 6 from both sides )
- 2x < - 14
Divide both sides by - 2, reversing the symbol as a result of dividing by a negative quantity.
x > 7
