|x| < 5 says that a number is between -5 and 5.
Module(absolute value) of a positive number or zero is the number itself and module of a negative number is called its contrary number i.e.
|a| = a if a ≥ = 0 and
|a| = -a if a < 0
From the definition is clear that the absolute value of every rational number different from zero is a positive number. Therefore contrary numbers have equal modules. We will observe the following equations |ax + b| = c.
If the absolute value of x , is -5, that means that is x itself, cannot be less than -5, as that would make it's absolute value higher than 5, and it cannot be great than 5, because that would make the absolute value also greater than 5, so if x is between 5 and -5, |x| < 5.
Hence, |x| < 5 says that a number is between -5 and 5.
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