Question

If 3 < x < 7 and 6 > x > 2 , which of the following best describes x? (I need explanation step by step)

points only for Aditya
others will be reported ​

Answer 1

Answer:

The interval of the function is,

(3,7) U (6,2)

Both the intervals describe x equally.

Thanks✌️❤️

Answer 2

Given: -3 < x < -1 and 3 <y<7 Find (x-y)/2 => (x/2 -y/2)

we can rewrite:

-3 < x < -1 => -3/2<x/2 < -1/2

3 <y<7=> 3/2 <y/2<7/2

Number line

====-3/2===-1/2===3/2===7/2====

Now (x/2-y/2) ...

we have to find range ie highest and lowest

difference

Largest difference = smallest number of x

and largest no. of y = -3/2 - 7/2 = -5

smallest difference = largest number of x

and smallest no. of y = -1/2 - 3/2 = -2

therefore -5< (x-y)/2 <-2