-4x > 1/11
Solve using multiplication principle
4x < -1/11
(The direction of > had to switch to < because I multiplied both sides by a negative number, -1.)
Now divide bith sides by 4.
x < -1/44
To solve the inequality -4x > 1/11 using the multiplication principle, we need to isolate the variable x on one side of the inequality.
First, we will start by multiplying both sides of the inequality by -1/4. This is done to simplify the inequality and make x positive. However, we need to remember that multiplying both sides of an inequality by a negative number flips the inequality sign.
Hence, we have:
(-1/4) * (-4x) < (-1/4) * (1/11)
Simplifying this, we find:
x < -1/44
So, the solution to the inequality -4x > 1/11 using the multiplication principle is x < -1/44.