Question 663896: I'm doing inequality expression problems and "What is the quotient of k and 9 is greater than one - third?" Answer by Theo(13342) (Show Source):
quotient of k and 9 means k / 9
greater than 1/3 means > 1/3
formula becomes k/9 > 1/3
multiply both sides of the equation by 9 to get k > 9/
simplify to get k > 3
test by substituting k > 3 in the equation.
let k = 4
equation becomes k / 9 > 1/3 which becomes 4/9 > 1/3 which is true to the solution is good.
it will not be good when k = 3 or k < 3.
when k = 3, the equation becomes 3/9 > 1/3 which is false because 1/3 is not greater than 1/3
when k = 2, the equation becomes 2/9 > 1/3 which is false because 2/9 is not greater than 1/3.
