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If A ⊆ B then A X C ⊆ B X C the given statement is true or false.

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If A  ⊆ B then A X C  ⊆ B X C the given statement is true or false.

(a) True

(b) False

I 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

1 Answer

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Best 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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