Q&A for How to When to Flip Inequality Sign

You reverse the inequality sign only when you multiply or divide by a negative number. For example, if you start with 10 > 4 and then multiply both sides by -2, you would get -20 > - 8 which is not true. So you have to flip the inequality sign to make the statement true: -20 < -8.

It doesn't matter. You apply the same tactics. You'll wind up with a variable in the answer.

No. You change the sign only when you multiply or divide by a negative number or when you use the reciprocal of the number.

If you want to isolate the variable on one side of the inequality, divide both sides by -4. Because you're dividing both sides by a negative number, you must flip the inequality sign: n > -15/-4, or n > 15/4.