Question 1012038

[(X-4)/3]-[3/(X-4)]>(1/3)X
<pre>If {{{(x - 4)/3 - 3/(x - 4) > (1/3)x}}}, then {{{x <> 4}}}
Solving the above inequality results in: {{{x < 1&3/4}}}
Therefore, there are 2 CRITICAL points: {{{x = 1&3/4}}} and {{{x = 4}}}, and 3 INTERVALS to test: {{{system(x < 1&3/4, 1&3/4 < x < 4_AND,x > 4)}}}
Testing the intervals, we find the only true interval and the solution to be: {{{highlight_green(1&3/4 < x < 4)}}}