Math 116 algebra please check
posted by jay jay .
Solve using the multiplication principle.
4x > 1/11
The solution is x > 1/44
Is this correct

You forgot to reverse the greater than sign when dividing by a negative number.
Take this example: 2*x < 10.
Pick a number for x that satisfies the equation: For instance, if x=3, then
2*(3) < 10 > 6 < 10 is true.
Solved without flipping the less than sign makes your equation (with x plugged in) gives you 3 < 10/(2) > 3 < 5 WRONG.
Whenever you multiply or divide both sides of the equation by a negative number, you have to reverse the inequality.
If in doubt, plug in a number for x that works in the first place, and see if it still works at the end. 
So will the correct answer be x< 1/44