1.

The negation of ‘For every natural number x, x + 5 > 4’ is (A) ∀ x ∈ N, x + 5 < 4 (B) ∀ x ∈ N, x - 5 < 4 (C) For every integer x, x + 5 < 4 (D) There exists a natural number x, for which x + 5 ≤ 4

Answer»

Correct option: (D) There exists a natural number x, for which x + 5 ≤ 4

Given statement is ‘∀ x ∈ N, x + 5 > 4’

∴ ~ [ ∀ x ∈ N, , x + 5 > 4]

≡ ∃ x ∈ N, such that x + 5 ≤ 4

i.e., there exists a natural number x, for which x + 5 ≤ 4



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