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

`x<-(1)/(6)`

Explanation:

`(7-2x)/(-4) +2<-x`

Subtract 2 from both sides

`(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<-(1)/(6)`