Write each compound inequality without using and.

1. a > 2 and a < 7

If possible, could I know what the directions is asking for and the steps? Thanks

turn the first one around

a>2 ----> 2<a

then 2 < a < 7

(usually we have the smaller numbers on the left and the larger on the right, which of course means we could have < in our statement)

Could you check to see if I did the next one correctly?

2.z < 0 and z > -6

-6 < z < 0

good job

Certainly! The directions are asking you to write the compound inequality without using the word "and." Here are the steps to solve this problem:

1. Start with the given compound inequality: a > 2 and a < 7
2. Replace the word "and" with the symbol for intersection (∩), which represents the logical "and" operator in set notation.
3. Rewrite the compound inequality using the intersection symbol: 2 < a ∩ a < 7

That's it! The compound inequality without using the word "and" is: 2 < a ∩ a < 7.