xavieredwards821 xavieredwards821
  • 01-08-2019
  • Mathematics
contestada

Solve (x + 5 < 4) ∩ (x - 3 > -6).

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gmany
gmany gmany
  • 03-08-2019

Answer:

[tex]\large\boxed{-3<x<-1\to x\in(-3,\ -1)}[/tex]

Step-by-step explanation:

[tex]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[/tex]

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