Respuesta :
Step-by-step explanation:
Whenever we put a negative number inside a modulus function it will give us the positive output. For example , |-3| = 3 , |-6|=6, |5|= 5 ,etc.
So a modulus function i.e. |x| is always greater than zero ( positive ) when x is any number except 0 and it is equal to zero when the value of x is 0.
So |x| can't be less than -4 as |x| is always positive . So the statement is false.
The expression |x| < -4 is false because all Positive numbers are greater than all negative numbers.
Modulo of a number
The modulo of a number x as denoted by; |x| is the positive value of number x irrespective of the value of x.
Hence, the number x, whether positive or negative becomes a positive number and hence;
- |x| > -4 which renders the given expression false
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