Thread: Inequalities with a variable in the denominator

I'm past this, but couldn't remember the rule....I have

Then there is a rule for solving this.... You can't multiply both sides by ,because you don't know if is negative or positive. The book says you should get

Thanks!

Originally Posted by Chokfull

I'm past this, but couldn't remember the rule....I have

Then there is a rule for solving this.... You can't multiply both sides by ,because you don't know if is negative or positive. The book says you should get

Thanks!

With these types of equalities you have a couple of chouces.

As you said you cannot multiply both sides by , however you can multiply both by , as you know this is a positive number.

You can also make both sides into fractions and add or subtract to rearrange.

For example, , leading to

Can you solve this from here?

Originally Posted by craig

With these types of equalities you have a couple of chouces.

As you said you cannot multiply both sides by , however you can multiply both by , as you know this is a positive number.

You can also make both sides into fractions and add or subtract to rearrange.

For example, , leading to

Can you solve this from here?

OK, but how does that get an absolute value? I'll fiddle with it for now but don't see how it gets