Question #38483

1 Answer
Sep 7, 2016

x > (39) / (11)

Explanation:

We have: (2) / (3) (6 - x) < (1) / (4) (x + 3)

First, let's cross-multiply:

=> 8 (6 - x) < 3 (x + 3)

Then, let's expand the parentheses:

=> 48 - 8 x < 3 x + 9

Next, let's subtract 9 from both sides:

=> 39 - 8 x < 3 x

=> 3 x > 39 - 8 x

Now, let's add 8 x to both sides:

=> 11 x > 39

Finally, let's divide both sides by 11:

=> x > (39) / (11)

Therefore, the solution to the inequality is x > (39) / (11).