SOLUTION: How do you know to put either "element of" or "subset of" in a math problem such as the square root of 7 _____ Irrational numbers? I know it is true but how do you know whether to

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Question 777704: How do you know to put either "element of" or "subset of" in a math problem such as the square root of 7 _____ Irrational numbers? I know it is true but how do you know whether to put element or subset??
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Square root of 7 is exactly one number. Yes, it is irrational. To say that it is an ELEMENT of the irrationals makes more sense than to say it is a subset of them. IF YOU HAVE a rule that describes a set of numbers and square root of 7 be the only number which fits the rule, then you may be able to say that square root of 7 be a subset of the irrational numbers. Having not been given such a rule, square root of 7 is an element of the set of irrationals.