Question

How do you solve `5( - 4n - 4) \leq - 4( 7n + 3) + 6 n`?

Answer 1

`n<=4`

Explanation:

`"distribute parenthesis on both sides of the inequality"`

`rArr-20n-20<= -28n-12+6n`

`rArr-20n-20<=-22n-12`

`"collect terms in n on the left side and numeric values"`
`"on the right side"`

`"add "22n" to both sides"`

`-20n+22n-20<=cancel(-22n)cancel(+22n)-12`

`rArr2n-20<=-12`

`"add 20 to both sides"`

`2ncancel(-20)cancel(+20)<=-12+20`

`rArr2n<=8`

`"divide both sides by 2"`

`(cancel(2) n)/cancel(2)<=8/2`

`rArrn<=4" is the solution"`

`n in(-oo,4]larrcolor(blue)"in interval notation"`