Name: tchilco

What is the answer to this problem:



The absolute value of a number is the distance the number is from zero. Thus |6-2x| is the distance between 6-2x and the origin. If this distance is less than 4 then 6-2x is between -4 and 4. That is,

-4 < 6-2x < 4

Thus x satisfies two conditions, first

-4 < 6-2x

and second

6-2x < 4

Now solve each of the two inequalities separately and remember that for x to satisfy |6-2x|<4 it must solve both of the inequalities -4 < 6-2x and 6-2x < 4.



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