Which of the following statements has the truth value T ? A: cube roots of unity are in Geometric progression and their sum is 1 B: 4+7>10 iff 2+8 < 10 C: x N such that x^2-3 x+2=0 and n N such that n is an odd number D : 3+ i is a complex number or 2 + 3 = 5

Step-by-step solution

Statement A: The cube roots of unity are 1 , , and ^2 with = e^ i 2 /3 , which form a geometric progression with common ratio . However, their sum is 1 + + ^2 = 0 1 . Thus, the conjunction is false. Statement B: Since 4 + 7 = 11 > 10 is true and 2 + 8 = 10 Statement C: Solving x^2 - 3x + 2 = 0 yields x = 1, 2 N , so there exists x satisfying the equation. Natural numbers include odd integers, such as 1 . Thus, both components are true, and the conjunction is true. Statement D: The expression 3 + i is a complex numb