Mathematics · Mathematical Logic
Let θ(x, y, z) be the statement (x + y = z), where x, y, z are real numbers. Consider two quantified statements: (i) ∀x ∀y &exists;z θ(x, y, z) (ii) &exists;z ∀x ∀y θ(x, y, z) Which of the following is correct?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1(i) is true and (ii) is false.✓
- 2(i) is false and (ii) is true.
- 3(i) is true and (ii) is true.
- 4(i) is false and (ii) is false.
Correct answer
(i) is true and (ii) is false.
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