Question

Solve (x + 1 < 5) ∩ (x - 4 > -3).

Answer 1

x could be both 3 and 2? Or am I misunderstanding the question? :)

Answer 2

Oh I don't think I am. The answer would be given as
\[1<x<4\]
Meaning x can be any number between 1 and 4 (hence 2 and 3). You can try to plot the numbers in to the equation to see if it fits :)

Answer 3

Next time, post this in the Math section (since it is not Physics).

Steps to solve the problem:
1) Solve both inequalities.
2) Find the situation where both inequalities are true.

1)
First inequality:
x + 1 < 5
x + 1 - 1 < 5 - 1
x < 4

Second inequality:
x - 4 > -3
x - 4 + 4 > -3 + 4
x > 1

2)
Both x < 4 and x > 1 have to be true. Therefore, x ∈ (1, 4).