For this case we must resolve the following inequality:
[tex]-2 (w + 4) +9 <-11[/tex]
We apply distributive property to the terms within parentheses:
[tex]-2w-8 + 9 <-11[/tex]
We add similar terms from the left side of the equation:
[tex]-2w + 1 <-11[/tex]
We subtract 1 from both sides of the inequality:
[tex]-2w <-11-1\\-2w <-12[/tex]
We divide between -2 on both sides taking into account that the sense of inequality changes:
[tex]w> \frac {-12} {- 2}\\w> 6[/tex]
Answer:
[tex]w> 6[/tex]
