Question

-2(w+4)+9< minus 11 plz help

Answer 1

For this case we must resolve the following inequality:

`-2 (w + 4) +9 <-11`

We apply distributive property to the terms within parentheses:

`-2w-8 + 9 <-11`

We add similar terms from the left side of the equation:

`-2w + 1 <-11`

We subtract 1 from both sides of the inequality:

`-2w <-11-1\\-2w <-12`

We divide between -2 on both sides taking into account that the sense of inequality changes:

`w> \frac {-12} {- 2}\\w> 6`

Answer:

`w> 6`