SOLUTION: Please help me describe the set of divisors of 36 greater than -5 but less than or equal to 18. by using roaster and rule method. I tried answering it but I dont know if correct

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Question 975678: Please help me describe the set of divisors of 36 greater than -5 but less than or equal to 18. by using roaster and rule method.
I tried answering it but I dont know if correct
Roaster method- {1,2,3,4,6,9,12,18}
Rule method- { x/x is a divisor of 36 greater than -5 but less than or equal to 18.
Found 2 solutions by stanbon, solver91311:
Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website!
Please help me describe the set of divisors of 36 greater than -5 but less than or equal to 18. by using roaster and rule method.
I tried answering it but I dont know if correct
Roaster method- {-3,-1,1,2,3,4,6,9,12,18}
Rule method- { x|x is a divisor of 36 and -5 < x <= 18
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Cheers,
Stan H.

Answer by solver91311(24713) (Show Source):
You can put this solution on YOUR website!

Roaster method? A roaster is something you find in the kitchen, or perhaps on the dais at the Friar's Club. Perhaps you meant roster?

The elements of your enumerated set (roaster as you so quaintly call it) are indeed all divisors of 36. However, why did you not include -2 and -3? Both of these divide 36 and both are in the range

Your set builder (rule) set is correct although you could have more compactly stated it, using normal keyboard text, as:

{x:x|36 and 5 < x <= 18}

The vertical bar (find the key above the Enter key on your keyboard and tap it while holding Shift) means "divides", and you can use the colon (:) to mean "such that" (: for such that works any time, but it is especially useful when you are using the vertical bar | for something else, like "divides")

John

My calculator said it, I believe it, that settles it