how do you do these inequalities?

Question

is -1>m<-2 a no solution?

if not how do you get no solution and all real #'s sometimes for an answer thanks

Answer 1

no, you can break it up into two innequalities:
-1 > m
m < -2

So, since -1 >m and -2 > m, ANYTHING less than -2 satisfies both innequalities. So your solution is (- infinity, -2) or m < -2.

You can get "no solution" infinitely many ways. One example would be saying x < -1 and x > 2. There is no solution "x" that satisfies both innequalities.
You can also get "all real #'s" infinitely many ways. One example would be x < or equal to l x l
(read as x less than or equal to absolute value of x) This statement is true for all real #'s.