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23 votes
23 votes
Explain why |x-5|<0 has no solution

User Nij
by
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1 Answer

24 votes
24 votes

The equation is given as,


\lvert x-5\rvert<0

Consider that the left-hand side expression is an absolute value function.

The absolute value function always gives a positive value of the output for any given input (x).

This is based on the definition of the absolute value function.

Since the absolute value function always provides a positive value, it can never be negative. So there will be no such value as 'x' for which the absolute value function will give a negative output.

That is why the given equation will have no solution at all.

User Bobsickle
by
3.1k points
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