Math Problem Statement
Jika A = {a, b, {a, c}, Ø} dan B = {a, {a}, d, e}, tentukan himpunan berikut: A - Ø, A - {Ø}, {{a, c}} - A, A ⊕ B, {a} - {A}, P(A-B), Ø - A, B², A ∪ (B ∩ A), A ∩ P(A).
Solution
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Math Problem Analysis
Mathematical Concepts
Set Theory
Set Operations
Powerset
Symmetric Difference
Intersection
Union
Difference
Formulas
Set difference: A - B = {x | x ∈ A and x ∉ B}
Symmetric difference: A ⊕ B = (A - B) ∪ (B - A)
Powerset: P(A) = {S | S ⊆ A}
Theorems
-
Suitable Grade Level
Grades 10-12
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