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

A. \( a < n \)

B. \( b - n > a - n \)

C. \( b < n \)

D. \( n + b = a + c \)

E. \( 2n > a + b \)

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

Answered by eboot123 | 2024-06-24

The statement that must be true is n + b = a + c. ;

Answered by Adella123 | 2024-06-24

The only statement that must be true whenever n , a , b , and c are positive integers with the given conditions is Statement B: a - n"> b − n > a − n .
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Answered by eboot123 | 2024-09-20