Answer:
x < - [tex]\frac{8}{15}[/tex]
Step-by-step explanation:
- [tex]\frac{1}{2}[/tex] x + [tex]\frac{1}{3}[/tex] > [tex]\frac{3}{5}[/tex]
Subtract 1/3 from both sides.
- [tex]\frac{1}{2}[/tex] x + [tex]\frac{1}{3}[/tex] - [tex]\frac{1}{3}[/tex] > [tex]\frac{3}{5}[/tex] - [tex]\frac{1}{3}[/tex]
= - [tex]\frac{1}{2}[/tex] x > [tex]\frac{4}{15}[/tex]
Multiply both sides by 2/(-1).
REMEMBER: when multiplying or dividing by a negative number you have to change the inequality sign, if it is > change it to <.
= - [tex]\frac{1}{2}[/tex]x x (- [tex]\frac{1}{2}[/tex] ) < [tex]\frac{4}{15}[/tex] ( - [tex]\frac{1}{2}[/tex] )
= x < - [tex]\frac{8}{15}[/tex]
IF THAT DOESN'T APPEAR RIGHT:
-1/2x+1/3>3/5
-1/2x>4/15
x<-8/15
