Write the negation of each statement:
(a) ∀ ∈ ℝ, ∃ ∈ ℝ such that < 2 .
(b) ∀ ∈ ℚ, ∃ ∈ ℕ such that =
(c) ∀ even integers ∃ an integer such that =
(d) ∃ ∈ ℝ such that for all real numbers + = 0.
(e) ∃ ∈ ℝ such that if < then 2 < 2 .
(f) ∀ > 0, ∃ > 0 such that ∀ ∈ − + | − | < remember this definition from calculus? !