No Real Numbers Satisfy Absolute Value Equation

[nycmathguy]

 

[MathLover1]

you have abs(x^2+4x)=-12

there is no real numbers that satisfy equation because no absolute value is negative number

by definition, absolute value is a value of a number regardless on its sign
examples:
|−5| = 5
|7| = 7

 

[nycmathguy]

you have abs(x^2+4x)=-12

there is no real numbers that satisfy equation because no absolute value is negative number

by definition, absolute value is a value of a number regardless on its sign
examples:
|−5| = 5
|7| = 7

In other words, | expression | CANNOT = NEGATIVE NUMBER.

YES?

See link:

Inequality Proofs