Question

Find the solution set of the inequality 14-3x< -1

Answer 1

x>5

Explanation:

14-3x<-1

What we need to do here is to isolate x.

Let's subtract 14 from both sides.

14-14-3x<-1-14

-3x<-15

Divide both sides by 3.

-x<-5

Divide both sides by -1.

Note that when you divide an inequality by a negative number, you have to flip the sign.

x>5

Answer 2

x > 5

Explanation:

14-3x< -1

Subtract 14 from each side

14-3x-14< -1-14

-3x < -15

Divide each side by -3, remembering to flip the inequality

-3x/-3 < -15/-3

x > 5