Solve using the multiplication principle

-4x > 1/11

The solution is x<-1/44

To solve the inequality -4x > 1/11 using the multiplication principle, we need to isolate the variable x.

First, let's multiply both sides of the inequality by -1. Whenever we multiply both sides of an inequality by a negative number, we need to reverse the inequality sign.

-1 * -4x < -1 * (1/11)

This simplifies to:

4x < -1/11

Next, we can multiply both sides of the inequality by 1/4 to isolate x. Since 1/4 is a positive number, we do not need to reverse the inequality sign.

(1/4) * 4x < (1/4) * (-1/11)

Simplifying further:

x < -1/44

Therefore, the solution to the inequality -4x > 1/11 is x < -1/44.