Question

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

Answer 1

Answer:

$x<-\frac{1}{6}$

Step-by-step explanation:

$\frac{7-2x}{-4} +2<-x$

Subtract 2 from both sides

$\frac{7-2x}{-4} <-x-2$

mutliply both sides by -4, flip the inequality

$7-2x >4x+8$

Add 2x on both sideds

$7>6x+8$

Subtract 8 from both sides

$-1>6x$

Divide both sides by 6

$x<-\frac{1}{6}$