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If A⊆ B then A X C⊆ B X C the given statement is true or false.(a) True(b) FalseI have been asked this question during an internship interview.My enquiry is from Cartesian Product of Sets in division Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics

Answer»

Correct OPTION is (a) True

The best explanation: Let an arbitrary element X ∈ A and y ∈ C, then x ∈ B (SUBSET property), (x,y) ∈ AX C also (x,y) ∈ B X C. This IMPLIES A X C ⊆ B X C.



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