Question

Find the correct answer

If $A\subset C,thenA\times B\subset C\times B.$

• A. True
• B. False

Answer 1

The correct option is A True

Let $x$ be an element in A.
Then for all elements $xϵA$, $xϵC$ since $A\subset C$
Hence for every element $x^{\prime }$ in $A\times B$,
$x^{\prime }ϵC\times B$
Hence
$A\times B\subset C\times B$.