Solve (x + 2 < 5) ∩ (x - 7 > -6). A. {all real numbers} B. x C. x

Question

Solve (x + 2 < 5) ∩ (x - 7 > -6).

A. {all real numbers}
B. 1 < x < 3
C. x

Answer 1

Assuming b

Explanation:

the person above said it was b so

Answer 2

Let
`A=x+2\lt5, B=x-7\gt6`.

Simplifying both you get
`A=x\lt3,B=x\gt1`.

The set conjunction is
`A\cap B=1\lt x\lt3`.

So the answer is B.

Hope this helps.