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**1. Homework Statement**

Determine the truth value of the statement.

*There exists*x

*for every*(x

*squared*

*smaller than y+1)*

x and y a set of non-negative real numbers

Sorry i dont know how to do the maths symbols on the computer.

All the numbers i have used make the statement true. The teacher said to try and proove the statement false, rather than prooving it correct.

Another teacher said it is to do with fractions.

As abovex and y a set of non-negative real numbers

Sorry i dont know how to do the maths symbols on the computer.

**2. Homework Equations**All the numbers i have used make the statement true. The teacher said to try and proove the statement false, rather than prooving it correct.

Another teacher said it is to do with fractions.

**3. The Attempt at a Solution**As above