Question

# Find the correct answer If $$\displaystyle A\subset C,then A\times B\subset C\times B.$$

A
True
B
False

Solution

## The correct option is A TrueLet $$x$$ be an element in A.Then for all elements $$x\epsilon A$$, $$x\epsilon C$$ since $$A\subset C$$Hence for every element $$x'$$ in $$A\times B$$, $$x'\epsilon C\times B$$Hence $$A\times B\subset C\times B$$.Maths

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