Let AB ⊆ C∩D and let x∈A. Prove that if x(no element of)D then x∈B.

(a) Critique the following student test. Please indicate all errors, how you would rate a task in detail on a 6-point scale. Point out the errors between the lines and comment on them below as well. Your comments must consist of complete sentences in English. In this part it is not necessary to correct the test, just comment on the errors.

Answer the below statements:

Suggested proof for criticism: suppose that x ∈ A and x is (not an element of) B.

By definition of difference x ∈ AB. By definition of subset, for all x, if x ∈ AB then x ∈ C∩D

By definition of intersection for al lx, x∈C and x∈D. So x∈D

Answer rating: 100% (QA)

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