Question

Find the solution set of the inequality 14- 3x < -1.14

Answer 1

14-3x<-1.14

-3x<-1.14-14

-3x<-15.14

x<5.04

Answer 2

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