Determine the truth value of each statement, assuming x is a real number. Justify your answer. 􀂜 (a) ∃ x in the interval [2, 4]  x (b) ∀ x in the interval [2, 4], x (c) ∃ x  x 2 = 5. (d) ∀ x, x 2 =...

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

(a) ∃ x in the interval [2, 4]
 x

(b) ∀ x in the interval [2, 4], x

(c) ∃ x
 x²
= 5.

(d) ∀ x, x₂
= 5.

(e) ∃ x
 x²
≠ – 3.

(f ) ∀ x, x²
≠ – 3.

(g) ∃ x
 x ÷ x = 1

(h) ∀ x, x ÷ x = 1.