Question

If n is an integer, how many different values of n satisfy the inequality
-4 ≤ 3n ≤ 87?

a) 32
b) 31
c) 30
d) 29
e) 28

i got (b) 31 but I'm not sure.

Answer 1

-4 ≤ 3n ≤ 87
divide by 3

-4/3 ≤ n ≤ 29

So you would have all the integers from -1 to 29
from 1 to 29 would be 29 of them, plus the 0 and the -2 makes a total of 31
You are correct.

Answer 2

Thank you so much