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(3x+1)(x+1)>0

Truly its easy question but i am confused that if we take (3x+1)>0 and (x+1)>0 then it shows answer wrong.... why is this so??????? please help

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(3x+1)(x+1)>0

Truly its easy question but i am confused that if we take (3x+1)>0 and (x+1)>0 then it shows answer wrong.... why is this so??????? please help

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The answers are:

x<-1 and x>-1/3

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your answer is correct but please explain how you have done this and tell me the concept behind it.

The answers are:

x<-1 and x>-1/3

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your answer is correct but please explain how you have done this and tell me the concept behind it.

If you take a look at the graph above, you might understand it a little better. Since they only want values which are >0, you need to select the points where the value of the graph is more than zero. This is illustrated above. If you retain the signs by using x>-1, then you will be saying that the range will include values below the x-axis(which is negative). The green region that I marked is what you want as your answer so you need to change the signs when you encounter questions like this.

I hope it makes sense now.

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which software or website did you use for making this graph?View attachment 50853

If you take a look at the graph above, you might understand it a little better. Since they only want values which are >0, you need to select the points where the value of the graph is more than zero. This is illustrated above. If you retain the signs by using x>-1, then you will be saying that the range will include values below the x-axis(which is negative). The green region that I marked is what you want as your answer so you need to change the signs when you encounter questions like this.

I hope it makes sense now.

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Thank you very very much.. no i have understood itView attachment 50853

If you take a look at the graph above, you might understand it a little better. Since they only want values which are >0, you need to select the points where the value of the graph is more than zero. This is illustrated above. If you retain the signs by using x>-1, then you will be saying that the range will include values below the x-axis(which is negative). The green region that I marked is what you want as your answer so you need to change the signs when you encounter questions like this.

I hope it makes sense now.

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I used desmos calculator. It is one of the best.which software or website did you use for making this graph?

https://www.desmos.com/

https://www.desmos.com/calculator

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You're welcome.Thank you very very much.. no i have understood it