EPPDISCMATH5 6.3.004.
Consider the following statement.
For all sets A, B, and C, if B ∪ C ⊆ A then (A - B) ∩ (A - C) = ∅. sets as A, B, and C in a comma-separated list. Use set-roster notation or write EMPTY or ∅ for the empty set.)
When you substitute the values you filled in for A, B, and C, which of the choices below answers the question?
The statement is true. Proof: Let A, B, and C be the sets in the ordered triple above. Then B ∪ C ⊆ A and (A - B) ∩ (A - C) = ∅.
The statement is true. Proof: Let A, B, and C be the sets in the ordered triple above. Then B ∪ C ⊈ A and (A - B) ∩ (A - C) ≠∅.
The statement is false. Counterexample: Let A, B, and C be the sets in the ordered triple above. Then B ∪ C ⊆ A and (A - B) ∩ (A - C) ≠∅.
The statement is false. Counterexample: Let A, B, and C be the sets in the ordered triple above. Then B ∪ C ⊈ A and (A - B) ∩ (A - C) = ∅.
The statement is false. Counterexample: Let A, B, and C be the sets in the ordered triple above. Then B ∪ C ⊆ A and (A - B) ∩ (A - C) = ∅.
The statement is false. Counterexample: Let A, B, and C be the sets in the ordered triple above. Then B ∪ C ⊈ A and (A - B) ∩ (A - C) ≠∅.
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DETAILS MY NOTES Consider the following statement. EPPDISCMATH56.3.004. PREVIOUS ANSWERS ASK YOUR TEACHER For all sets A, B, and C, if B ∪ C then A - B ∩ A - C = PRACTICE ANOTHER A, B, C = sets as A, B, and C in any comma-separated list. Use set-roster notation or write EMPTY or ∅ for the empty set.) Let the universal set U be 1, 2, 3, 4, 5, and assume that all sets are subsets of U. Is the statement true or false Find subsets of 1, 2, 3, 4, 5 that can be used to answer this question. Enter the When you substitute the values you filled in for A, B, and C, which of the choices below answers the question? O The statement is true. Proof: Let A, B, and C be the sets in the ordered triple above. Then B ∪ C and A - B ∩ A - C = O The statement is true. Proof: Let A, B, and C be the sets in the ordered triple above. Then B ∪ C and A - B ∩ A - C. The statement is false. Counterexample: Let A, B, and C be the sets in the ordered triple above. Then U C and A - B ∩ A - C O The statement is false. Counterexample: Let A, B, and C be the sets in the ordered triple above. Then B ∪ C and A - B ∩ A - C = O The statement is false. Counterexample Let A, B, and C be the sets in the ordered triple above. Then B ∪ C and A - B ∩ A - C =. O The statement Is false. Counterexample: Let A, B, and C be the sets in the ordered triple above. Then B ∪ C and A - B ∩ A - C Need Help?