Question

The function $f$ : A →B is given by $f(x)=x,xϵA$, is one to one but not onto. Then

• A. B ⊂ A
• B. A = B
• C. A'⊂ B'
• D. A ⊂ B
• E. A∩B = $\varphi$

Answer 1

Answer: (D)

$f(x)=x$ is identity function.
It is given that $f(x)$ is one to one but not on to.
It means some element in $B$ has no pre image in $A$.
$\Rightarrow A\subset B$