Question

How do you solve `x + 8 - 1> x/3`?

Answer 1

`x> -21/2`

Explanation:

Given,

`x+8-1>x/3`

Simplify the left side.

`x+7>x/3`

Multiply both sides by `3`.

`color(red)(3(color(black)(x+7)))>color(red)(3(color(black)(x/3)))`

Simplify.

`3x+21>x`

Subtract `3x` from both sides.

`3xcolor(white)(i)color(red)(-3x)+21>xcolor(white)(i)color(red)(-3x)`

`21> -2x`

Divide both sides by `-2`

`color(red)(color(black)(21)/-2)> color(red)((color(black)(-2x))/-2)`

`x<-21/2`

Since you divided by a negative number, flip the inequality sign.

`x> color(green)(|bar(ul(color(white)(a/a)color(black)(-21/2)color(white)(a/a)|)))`