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Bunuel
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I have edited the question and the solution by adding more details to enhance its clarity. I hope it is now easier to understand.
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I think this is a high-quality question and I agree with explanation.
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I think this is a high-quality question and I agree with explanation.
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Bunuel How did you get to the values of x without solving the equation?

I took some time to solve sqroot(3)<|x|<6 and then getting -6<x<-sqroot(3) since x is negative to then come at integer values possible for x as [-5,-2]
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Bunuel How did you get to the values of x without solving the equation?

I took some time to solve sqroot(3)<|x|<6 and then getting -6<x<-sqroot(3) since x is negative to then come at integer values possible for x as [-5,-2]

You can obtain the values of x through simple number testing. No need to complicate.

For 3 < x^2 < 36 to be true, x can be 2, 3, 4, or 5, as well as their negative counterparts of the same magnitude: -2, -3, -4, or -5.
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why are we not considering -1 as a possibility
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Bunuel How did you get to the values of x without solving the equation?

I took some time to solve sqroot(3)<|x|<6 and then getting -6<x<-sqroot(3) since x is negative to then come at integer values possible for x as [-5,-2]

You can obtain the values of x through simple number testing. No need to complicate.

For 3 < x^2 < 36 to be true, x can be 2, 3, 4, or 5, as well as their negative counterparts of the same magnitude: -2, -3, -4, or -5.
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why are we not considering -1 as a possibility
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Bunuel How did you get to the values of x without solving the equation?

I took some time to solve sqroot(3)<|x|<6 and then getting -6<x<-sqroot(3) since x is negative to then come at integer values possible for x as [-5,-2]

You can obtain the values of x through simple number testing. No need to complicate.

For 3 < x^2 < 36 to be true, x can be 2, 3, 4, or 5, as well as their negative counterparts of the same magnitude: -2, -3, -4, or -5.

Because -1 does not satisfy 3 < x^2 < 36.
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Hi,

I dont understand how we are taking 2 different values of x here. Is the question indirectly asking for range?
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Hi,

I dont understand how we are taking 2 different values of x here. Is the question indirectly asking for range?

It’s because the question literally asks you to use two different x values:

...what is the result of subtracting the minimum possible value of \(x\) from twice the maximum possible value of \(x\)?
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