SOLUTION: I'm doing inequality expression problems and "What is the quotient of k and 9 is greater than one - third?"

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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): You can put this solution on YOUR website!
k / 9 > 1/3
k = 9/3
k = 3

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.


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