Answer:
x > 5 7/150, or (as a mixed number with decimal fraction) x > 5.0467
Explanation:
There are multiple ways of doing this problem. Let's use separate steps for clarity. Subtract 14 from both sides, obtaining:
-3x < -1.14 - 14
Combining the terms of the right side, we get:
-3x < -15.14
Now let's solve for x. To do this, divide both sides by -3 and reverse the direction of the inequality sign:
x > 15.14/3, or x > 5 7/150