Question

The negation of the statement, ∃ x ∈ R, such that x³ + 8 > 0, is ______.

विकल्प

• ∃ x ∈ R, such that x³ + 8 < 0

• ∀ x ∈ R, x³ + 8 > 0

• ∀ x ∈ R, x³ + 8 ≤ 0

• ∃ x ∈ R, such that x³ + 8 = 0

Answer 1

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