Question

Write a compound inequality to represent all of the numbers between -4 and 6.

Answer 1

What's your best guess?

Answer 2

would it be something like -4<r>6? I don't know Im confused.

Answer 3

Very close! Whenever you use the < or the > signs what you need to have is the smaller number on the side where it's going down. For instance:

2<3

See how it sort of slopes from smaller to larger going from the 2 to the 3?

Similarly, 16>5 is another example. It follows the same idea here. In fact, you can easily rewrite 16>5 as 5<16 since they mean exactly the same thing!

So here when you've written

-4<r>6

That is basically saying that r is greater than -4 and r is also greater than 6, but it's between them so you should really change it to be

-4<r<6

Does that make sense?

Answer 4

Yes. thank you!