When do you flip the inequality sign?
You're sailing through your homework.An inequality with a lot of negatives.Help!When do you flip the sign?
No fear!There are a couple of times when you can flip the inequality.
When you divide an inequality by a negative number, flip the inequality sign.
When you divide an inequality by a negative number is the main situation where you need to flip the inequality sign.
You need to get the x-es on the same side of the inequality.In order to have x on the left, subtract 6_x_ from both sides.
You can move the constant, 6, to the other side of the inequality by isolating the x on the left side.If you want to do this, subtract 6 from both sides.
Divide the inequality by 3.The inequality sign needs to be flipped since you're dividing by a negative number.
If you're using a fraction, the same rule would apply.The same rules apply to multiplying and dividing because they are inverses of the same process.
When you're dealing with absolute value problems, you need to think about flipping the inequality sign.
You want to make life easier by isolating the absolute value expression on the left side of the inequality.Subtract 6 from the other side.
You need to change this expression to a compound inequality.There are two ways in which 6 can be written.
The "x" inside the absolute value signs might be negative, so we need to consider the case when x is negative.Since it's inside absolute value signs the outcome is still positive, we're converting x by negative one on the left to the right and vice versa.
These kinds of problems can take some practice, so don't worry if you're not getting it at first.It will eventually become second nature if you keep at it.