All squares are rectangles. Some rectangles are not squares. Which statement must be true?

  • A. Squares are a subset of rectangles
  • B. Rectangles are a subset of squares
  • C. No rectangle is a square
  • D. All rectangles are squares

Explanation

The first premise places squares entirely inside rectangles and the second confirms that rectangles extend beyond squares, so the relationship is one of proper subset. The remaining options either reverse the containment or deny the overlap that the first premise establishes. Subset language is simply a precise way of stating all A are B.

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