Question

Solve (x + 5 < 4) ∩ (x - 3 > -6).

Answer 1

`\large\boxed{-3<x<-1\to x\in(-3,\ -1)}`

Explanation:

`x+5<4\qquad\text{subtract 5 from both sides}\\\\x+5-5<4-5\\\\x<-1\\\\x-3>-6\qquad\text{add 3 to both sides}\\\\x-3+3>-6+3\\\\x>-3\\\\x<-1\ \wedge\ x>-3\to-3<x<-1`