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