Set operations – Match operations with symbols List I (Operation) A. Set equality B. Set inclusion (subset or equal) C. Set intersection D. Set difference List II (Symbol) − = ⊆ (written here as ‘‘<=’’) ∩ (written here as ‘‘*’’) Choose the correct mapping.

Difficulty: Easy

Correct Answer: A-2, B-3, C-4, D-1

Explanation:


Introduction / Context:
Set theory uses standard symbolic notation. Many exams test recognition of these symbols, even if typeset constraints substitute ASCII forms (for example, using ‘‘’’ for intersection or ‘‘<=’’ for subset-or-equal).


Given Data / Assumptions:

  • Equality between sets uses ‘‘=’’.
  • Subset or equal uses ‘‘⊆’’ (represented here as ‘‘<=’’).
  • Intersection uses ‘‘∩’’ (represented here as ‘‘’’).
  • Difference uses ‘‘−’’.


Concept / Approach:

Translate the ASCII stand-ins to the canonical math symbols, then match each operation to its symbol. Equality → ‘‘=’’; inclusion → ‘‘⊆’’; intersection → ‘‘∩’’; difference → ‘‘−’’.


Step-by-Step Solution:

A (Set equality) → 2 (=).B (Set inclusion) → 3 (⊆).C (Set intersection) → 4 (∩).D (Set difference) → 1 (−).


Verification / Alternative check:

Check with standard references or any discrete math text; the correspondence is universal.


Why Other Options Are Wrong:

Any option that swaps equality with inclusion or intersection with difference contradicts standard definitions.


Common Pitfalls:

Confusing subset ‘‘⊆’’ with proper subset ‘‘⊂’’; using ‘‘*’’ as multiplication instead of the stand-in for ‘‘∩’’ when typesetting is limited.


Final Answer:

A-2, B-3, C-4, D-1.

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