Determine the truth value of each statement, assuming x is a real number. Justify your answer. (a) ∃ x in the interval [3, 5]  x ≥ 4. (b) ∀ x in the interval [3, 5], x ≥ 4 (c) ∃ x  x2 ≠ 3. (d) ∀ x, x2...

Determine the truth value of each statement, assuming x is a real number. Justify your answer.

(a) ∃ x in the interval [3, 5]
 x ≥ 4.

(b) ∀ x in the interval [3, 5], x ≥ 4

(c) ∃ x
 x2 ≠ 3.

(d) ∀ x, x2 ≠ 3.

(e) ∃ x
 x2 = – 5.

(f ) ∀ x, x2 = – 5.

(g) ∃ x
 x – x = 0.

(h) ∀ x, x – x = 0.