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

1 < x < 4 . . . . x

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.