Question

WHAT IS THE ABSSOLUTE VALUE OF 3-7,IF A -2IS LESS THAN 7

Answer 1

Step-by-step explanation:

Another way of looking at this is the absolute value of a number is the distance from 0.

Therefore, if |x|<7|x|<7, then the distance x is from 0 is less than 7. Therefore, it cannot be more than 7 above 0, and it cannot be less than 7 below 0, meaning −7<x<7−7<x<7

Using that definition, you could shift the result. Anytime you replace xx with x−ax−a, that shifts every point to the right on the x axis by aa.

Therefore, if we start with |x|<7|x|<7, replacing xx with x+3x+3 will shift the entire solution set right by -3. Going right -3 places is the same as going left 3 places. Therefore, −7−3<x<7−3−7−3<x<7−3 or −10<x<4−10<x<4

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