How do you solve x + 8 - 1> x/3 x+81>x3?

1 Answer
May 24, 2016

x> -21/2x>212

Explanation:

Given,

x+8-1>x/3x+81>x3

Simplify the left side.

x+7>x/3x+7>x3

Multiply both sides by 33.

color(red)(3(color(black)(x+7)))>color(red)(3(color(black)(x/3)))3(x+7)>3(x3)

Simplify.

3x+21>x3x+21>x

Subtract 3x3x from both sides.

3xcolor(white)(i)color(red)(-3x)+21>xcolor(white)(i)color(red)(-3x)3xi3x+21>xi3x

21> -2x21>2x

Divide both sides by -22

color(red)(color(black)(21)/-2)> color(red)((color(black)(-2x))/-2)212>2x2

x<-21/2x<212

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)|)))