The square root of 2x is greater than 3 and less than 4. How many integer values of x satisfy this condition?

Guest May 26, 2021

#3**+1 **

*The square root of 2x is greater than 3 and less than 4. How many integer values of x satisfy this condition?*

3 is the square root of 9 and sqrt(2x) has to be greater than 3 so 2x has to be greater than 9.

4 is the square root of 16 and sqrt(2x) has to be less than 4 so 2x has to be less than 16.

So 2x can be 10, 11, 12, 13, 14, or 15. But wait! x has to be an integer, so 2x has to be even.

That means 2x can be 10, 12, or 14, so **x** can be **5**, **6**, or **7**.

So the answer to "how many" is **THREE**.

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Guest May 26, 2021