Question

Solve (x+1<5) n (x-4> -3). A (all real numbers) B [x|1 C [x|x<4 or x> 1)

Answer 1

Answer:

  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

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  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

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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.