Which of the following statements must be true whenever n, a, b, and c are positive integers such that n a, and b > c?

A. a < n

B. b - n > a - n

C. b < n

D. n + b = a + c

E. 2n > a + b

Question

Mathematics

Ryker Sandoval

3 March, 05:40

Which of the following statements must be true whenever n, a, b, and c are positive integers such that n a, and b > c?

A. a < n

B. b - n > a - n

C. b < n

D. n + b = a + c

E. 2n > a + b

+2

Answers (1)

Know the Answer?

Jeffrey Stokes · Answer 1

B is true,

since b is larger than a. we see this from the 2 last statements.

n is subtracted form both of them, so b is still larger, and b-n is larger than a-n

Which of the following statements must be true whenever n, a, b, and c are positive integers such that n a, and b > c?A. a < nB. b - n > a - nC. b < nD. n + b = a + cE. 2n > a + b

Which of the following statements must be true whenever n, a, b, and c are positive integers such that n a, and b > c?

A. a < n

B. b - n > a - n

C. b < n

D. n + b = a + c

E. 2n > a + b