Use a graphing calculator to solve the rational inequality $x + \frac { 3 } { x } 4$ . Round all numerical values in your answer to three decimal places, where applicable.
A) $( - \infty , \infty )$
B) $( 1 , \infty )$
C) $( 0,1 ) \cup ( 3 , \infty )$
D) $( - \infty , - 1 ) \cup ( 3 , \infty )$
E) $( - \infty , 1 ) \cup ( 3 , \infty )$

Question

Use a graphing calculator to solve the rational inequality $x + \frac { 3 } { x } > 4$ . Round all numerical values in your answer to three decimal places, where applicable.
A) $( - \infty , \infty )$
B) $( 1 , \infty )$
C) $( 0,1 ) \cup ( 3 , \infty )$
D) $( - \infty , - 1 ) \cup ( 3 , \infty )$
E) $( - \infty , 1 ) \cup ( 3 , \infty )$

Quizplus · Accepted Answer

The inequality $x + \frac{3}{x} > 4$ holds true for $x$ in the intervals $(0,1)$ and $(3,\infty)$ after solving and testing the critical points.

Use a Graphing Calculator to Solve the Rational Inequality x+3x>4x + \frac { 3 } { x } > 4x+x3​>4

Use a Graphing Calculator to Solve the Rational Inequality $x + \frac { 3 } { x } > 4$