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Question
The negation of the statement, ∃ x ∈ R, such that x3 + 8 > 0, is ______.
Options
∃ x ∈ R, such that x3 + 8 < 0
∀ x ∈ R, x3 + 8 > 0
∀ x ∈ R, x3 + 8 ≤ 0
∃ x ∈ R, such that x3 + 8 = 0
MCQ
Fill in the Blanks
Solution
The negation of the statement, ∃ x ∈ R, such that x3 + 8 > 0, is ∀ x ∈ R, x3 + 8 ≤ 0.
Explanation:
∼ [∃ x ∈ R, such that x3 + 8 > 0]
≡ ∀ x ∈ R, x3 + 8 ≤ 0
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Negations of Compound Statements
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