Question

How do you solve the inequality `-2/3 d - 2 < 1/3 d + 8` ?

Answer 1

`d> -10`

Explanation:

`"collect terms in d on one side and numeric values on the"`
`"other side of the inequality"`

`"add "2/3d" to both sides"`

`cancel(-2/3d)cancel(+2/3d)-2<1/3d+2/3d+8`

`rArr-2< d+8`

`"subtract 8 from both sides"`

`-2-8< dcancel(+8)cancel(-8)`

`rArr-10< d" or "d> -10`

Answer 2

`-10`<`d`

Explanation:

Multiply everything by 3

`-2d-6`<`d+24`

Add 2d to both sides

`-6`<`3d+24`

Subtract 24 from both sides

-30`<`3`d`

Divide both sides by 3

`-10`<`d`