SOLUTION: Five times the difference between a number and four is greater than the quotient of four times the number and six. Find the smallest integer that will satisfy the inequality.

Algebra ->  Customizable Word Problem Solvers  -> Numbers -> SOLUTION: Five times the difference between a number and four is greater than the quotient of four times the number and six. Find the smallest integer that will satisfy the inequality.      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 867682: Five times the difference between a number and four is greater than the quotient of four times the number and six. Find the smallest integer that will satisfy the inequality.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Just write an equation for what it says;
" Five times the difference between a number and four is greater than the quotient of four times the number and six."
5(n-4) > %284n%29%2F6
Multiply both sides by 6
30(n-4) > 4n
30n - 120 > 4n
30n - 4n > 120
26n > 120
n > 120%2F26
n > 4.615
"Find the smallest integer that will satisfy the inequality."
n = 5