Solve (x+1< 5) n (x-4> -3).
a (all real numbers)
b [x|1 c [x|x< 4 or x> 1)

  1 < x < 4 . . . . {x | x < 4 and x > 1}

Step-by-step explanation:

We want to write the answer as a compound inequality, if possible. As it is written, we can solve each separately.

  x + 1 < 5

  x < 4 . . . . . . . subtract 1

__

  x -4 > -3

  x > 1 . . . . . . . add 4

So, the solution is ...

  (x < 4) ∩ (x > 1) . . . . . . the intersection of the two solutions

As a compound inequality, this is written ...

  1 < x < 4

Comment on the problem

The two answer choices shown don't make any sense. You might want to have your teacher demonstrate the solution to this problem.

two data sets with the same median will not have the same varaibility

step-by-step explanation: