In Calculus AB a student solved this problem this way and was wondering where they went wrong. I’m rusty so it took me a minute to find the error. Can you?

[…] you’re done thinking about that, go check out where the mistake came from. EmailPrint Posted in Reasoning with Equations and Inequalities, Solving Linear […]

Do we ever teach an algebraic method for handling this?

At first glance, I thought the error was using “or” and not “and”, but then thinking again, I saw the rest. But the way I would think through this problem is graphically, understanding what rational functions look like.

## Comments

Could I post this on mathmistakes.org? Credited and linked, of course.

Please do.

[…] you’re done thinking about that, go check out where the mistake came from. EmailPrint Posted in Reasoning with Equations and Inequalities, Solving Linear […]

Do we ever teach an algebraic method for handling this?

At first glance, I thought the error was using “or” and not “and”, but then thinking again, I saw the rest. But the way I would think through this problem is graphically, understanding what rational functions look like.