How do you solve x + 8 - 1> x/3 x+8−1>x3?
1 Answer
May 24, 2016
Explanation:
Given,
x+8-1>x/3x+8−1>x3
Simplify the left side.
x+7>x/3x+7>x3
Multiply both sides by
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
3xcolor(white)(i)color(red)(-3x)+21>xcolor(white)(i)color(red)(-3x)3xi−3x+21>xi−3x
21> -2x21>−2x
Divide both sides by
color(red)(color(black)(21)/-2)> color(red)((color(black)(-2x))/-2)21−2>−2x−2
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)|)))