Question

SOLVE
-1/2x + 1/3 > 3/5
PLEASE HELP ASAP

Answer 1

x < - [tex]\frac{8}{15}[/tex]

Explanation:

- [tex]\frac{1}{2}[/tex] x +
`(1)/(3)` >
`(3)/(5)`

Subtract 1/3 from both sides.

- [tex]\frac{1}{2}[/tex] x +
`(1)/(3)` -
`(1)/(3)` >
`(3)/(5)` -
`(1)/(3)`

= - [tex]\frac{1}{2}[/tex] x >
`(4)/(15)`

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] ) <
`(4)/(15)` ( - [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