- #1
Baris Kalfa
- 8
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Hello, could you please help me regarding this question about a certain map (application).
Demonstrate if A1 ⊂ A2 →ƒ(A1) ⊂ ƒ(A2)
2. Homework Equations
ƒ:A→B is a map
A1, A2⊂ A
first assumed that (A1∪A2)⊆A
⇒ (ƒ(A1) ∪ ƒ(A2))⊆ ƒ(A)
then if A1 ⊂ A2
∴ ƒ(A1) ⊂ ƒ(A1)
I don't know if this demonstration is satisfying enough. I'm missing something related to properties of a function.
Homework Statement
Demonstrate if A1 ⊂ A2 →ƒ(A1) ⊂ ƒ(A2)
2. Homework Equations
ƒ:A→B is a map
A1, A2⊂ A
The Attempt at a Solution
first assumed that (A1∪A2)⊆A
⇒ (ƒ(A1) ∪ ƒ(A2))⊆ ƒ(A)
then if A1 ⊂ A2
∴ ƒ(A1) ⊂ ƒ(A1)
I don't know if this demonstration is satisfying enough. I'm missing something related to properties of a function.