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The square root of 2x is greater than 3 and less than 7. How many integer values of x satisfy this condition?

 Sep 17, 2021
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The square root of 2x is greater than 3 and less than 7. How many integer values of x satisfy this condition?     

 

3 squared is 9 so 2x must be greater than 9, therefore the smallest value 2x can be is 10 

7 squared is 49 so 2x must be less than 49, thererfore the greatest value 2x can be is 48  

 

The above can be written as 10 < 2x < 48   

 

We were talking about 2x above, so we must halve it to find x   

 

So 5 < x < 24 satisfies the stated condition 

 

Between 5 and 24 inclusive are 20 integers   

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 Sep 17, 2021

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