Can mode of a number be negative e.i., |x| = -ve

no.

No, the modulus function can never give a negative value.

Modulus function is basically,

• x ,   for x≥0
• -x ,  for x<0

which means if i put x= -5 ... then according to the above definations

the value of the function would be

-x

-(-5)

=5

Hence, a modulus can never return a negative value.

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modulus of a real number is definied as its distance from the origin ... as distance can never be negative ..MODULUS OF A NUMBER CAN NEVER BE NEGATIVE ... PLEASE APPROVE MY ANSWER