BelyAlv
BelyAlv BelyAlv
  • 21-03-2019
  • Mathematics
contestada

Which of the following is equivalent to 7-2(x+2)<-4-3(1-x)?

A:-5x<-10
B:-x<-16
C:-2x<17
D:6x<-9

Respuesta :

gmany
gmany gmany
  • 23-03-2019

Answer:

[tex]\large\boxed{A.\ -5x<-10}[/tex]

Step-by-step explanation:

[tex]7-2(x+2)<-4-3(1-x)\qquad\text{use distributive property}\ a(b+c)=ab+ac\\\\7+(-2)(x)+(-2)(2)<-4+(-3)(1)+(-3)(-x)\\\\7-2x-4<-4-3+3x\qquad\text{combine like terms}\\\\-2x+(7-4)<3x+(-4-3)\\\\-2x+3<3x-7\qquad\text{subtract 3x from both sides}\\\\-5x+3<-7\qquad\text{subtract 3 from both sides}\\\\-5x<-10[/tex]

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