Question

How do you solve `2( 4k + 6) < - 44`?

Answer 1

`k< -7`

Explanation:

`"distribute parenthesis on left side"`

`8k+12< -44`

`"subtract 12 from both sides"`

`8kcancel(+12)cancel(-12)< -44-12`

`rArr8k< -56`

`"divide both sides by 8"`

`(cancel(8) k)/cancel(8)<(-56)/8`

`rArrk< -7" is the solution"`

Answer 2

`k<-7`
Refer to the explanation.

Explanation:

`2(4k+6) < -44`
Dividing both sides by 2,
`{cancel2(4k+6)}/cancel2 < -22`
`4k+6< -22`
Subtracting 6 from both sides,
`4k<-28`
Dividing both sides by 4,
`k<-28/4`
`:. k<-7`

Hope this helps :)