Solve the inequality. $$\frac { 4 } { x } 2$$
A) $\quad ( 0,2 ]$
B) $\quad ( 0,2 )$
C) $\quad [ 0,2 ]$
D) $\quad ( - \infty , 2 )$
E) $[ 0,2 )$

Question

Solve the inequality. $$\frac { 4 } { x } > 2$$
A) $\quad ( 0,2 ]$
B) $\quad ( 0,2 )$
C) $\quad [ 0,2 ]$
D) $\quad ( - \infty , 2 )$
E) $[ 0,2 )$

Quizplus · Accepted Answer

To solve the inequality $\frac{4}{x} > 2$, multiply both sides by $x$ (assuming $x > 0$ since division by zero is undefined and $x < 0$ would reverse the inequality): $4 > 2x$. Solving for $x$, we get $x < 2$. Since $x$ must also be greater than 0 to avoid division by zero, the solution is $0 < x < 2$, which corresponds to the interval $(0, 2)$.

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