If 0<a ≤b ≤ c then b<a+c and a<b+c follow automatically.
I do not understand why b<a+c and a<b+c will follow automatically. Can you please explain? Thank you in advance!
The original problem says nothing about subtraction. Why are you subtracting x?
Also, you cannot use "x" to represent both a and b which may be different numbers.
Do you understand that adding a positive number to any expression makes it larger? That is, if a> 0, b< b+ a for any b.