What is the solution to the inequality |3x|>0

Mathematics

2 answers:

GrogVix [38]3 years ago

7 0

Sonja [21]3 years ago

5 0

Answer: The required solution is $x>0~\textup{or}~x$

Step-by-step explanation: We are given to find the solution of the following inequality:

$|3x|>0~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)$

We know that,

If $|x|>a,$ then we have

$x>a~~~~~~\textup{or}~~~~~~x$

From inequality (i), we get

$|3x|>0\\\\\Rightarrow 3x>0~~~~~\textup{or}~~~~~3x\dfrac{0}{3}~~~~~~~~~~~~\Rightarrow 3x3~~~~~~~~~~~~~\Rightarrow x3~~~~~~~~~~~~~\Rightarrow x$

Thus, the required solution is $x>0~\textup{or}~x$

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