Question

if a is a subset of B prove that a x c is equal to b x c

Answer 1

SOLUTION

TO PROVE

If A ⊆ B then A × C ⊆ B × C

EVALUATION

Let (x, y) ∈ A × C

⇒ x ∈ A ∧ y ∈ C

⇒ x ∈ B ∧ y ∈ C ( ∵ A ⊆ B )

⇒ (x, y) ∈ A × C

∴ A × C ⊆ B × C

Hence proved

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