Trying to understand the property of absolute value inequality

In summary, we can define absolute value as either the distance between a number and 0, or the distance between 0 and the opposite of that number. When considering inequalities involving absolute value, we can use the definition to show that -c < x < c is equivalent to |x| < c for any number c, as long as x is between -c and c.
  • #36
mark2142 said:
But I am not satisfied that distance definition doesn’t work to prove axiom.
Then, perhaps, mathematics isn't for you? Perhaps you should study something else instead?
 
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  • #37
PeroK said:
Then, perhaps, mathematics isn't for you? Perhaps you should study something else instead?
You sound like I can’t learn maths.
 
  • #38
mark2142 said:
You sound like I can’t learn maths.
The modulus function is simple, algebraically and graphically. You don't have time to spend days trying to understand it. You have to find some way to move on. This is a practical matter. You don't have an unlimited amount of time. This thread, IMO, is now a waste of your time. You have to move on.
 
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  • #39


I would watch the 3 videos.
 
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