GIVEN:
We are given the following expression;
[tex]\sqrt{6x^2}\div\sqrt{4x}[/tex]
Required;
To select which inequality represents all values of x for which the quotient below is defined.
Step-by-step solution;
Take note that for a quotient to be undefined, the denominator in the division problem must be 0. However, to be defined, it must not be equal to 0.
For the division given, in order to determine for which values of x is the quotient defined, we take the denominator and set it greater than 0. This is shown below;
[tex]\begin{gathered} \sqrt{4x}>0 \\ \\ Square\text{ both sides;} \\ \\ 4x>0 \\ \\ Divide\text{ both sides by 4;} \\ \\ x>0 \end{gathered}[/tex]
Therefore, the quotient is defined where that values of x are greater than 0.
ANSWER:
Option A is the correct answer.
