Question

Translate into an inequality:   The sum of 2 consecutive integers is at most the difference between nine times the smaller and 5 times the larger.

 a x+x+2 ≥9x-5(x+2) 
b x+x+1 ≤9x-5(x+1) 
c x+x+1 ≥ 9x-5(x+1) 
d x+x+2 ≤9x-5(x+2)

Answer 1

The answer is b. "at most" means that x + (x + 1) must be smaller than or equal to the other side of the equation. 

Answer 2

work shown above! Answer would be b!