vvividss vvividss
  • 22-12-2020
  • Mathematics
contestada

Which of the following is a solution to the inequality -2x + 3> 7?

A)-3

B)3

C)-4

D)-2

E)-10

F)0

Respuesta :

isabeljanelle isabeljanelle
  • 22-12-2020
-2x + 3 > 7
-2x > 4
x < -2

D) -2 is your answer
Answer Link
gmany
gmany gmany
  • 22-12-2020

Answer:

A, C, E

Step-by-step explanation:

[tex]-2x+3>7\qquad|\text{subtract 3 from both sides}\\\\-2x+3-3>7-3\\\\-2x>4\qquad|\text{change the signs}\\\\2x<-4\qquad|\text{divide both sides by 2}\\\\\dfrac{2x}{2}<\dfrac{-4}{2}\\\\x<-2[/tex]

[tex]A)\ -3<-2\qquad\boxed{CORRECT}\\\\B)\ 3>-2\\\\C)\ -4<-2\qquad\boxed{CORRECT}\\\\D)\ -2=-2\\\\E)\ -10<-2\qquad\boxed{CORRECT}\\\\F)\ 0>-2[/tex]

Answer Link

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