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What is the value of x in the inequality start fraction seven minus two x over negative four end fraction plus two less than negative x ?


A. x less than start fraction one over six end fraction

B. x less than negative start fraction one over six end fraction

C. x greater than negative start fraction one over six end fraction

D. x < 6

Respuesta :

Answer:

[tex]x<-\frac{1}{6}[/tex]

Step-by-step explanation:

[tex]\frac{7-2x}{-4} +2<-x[/tex]

Subtract 2 from both sides

[tex]\frac{7-2x}{-4} <-x-2[/tex]

mutliply both sides by -4, flip the inequality

[tex]7-2x >4x+8[/tex]

Add 2x on both sideds

[tex]7>6x+8[/tex]

Subtract 8 from both sides

[tex]-1>6x[/tex]

Divide both sides by 6

[tex]x<-\frac{1}{6}[/tex]

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