What interval consists of all $w$ which satisfy ${\bf neither}$ $-2(6+2w)\le -16$ nor $-3w\ge 18$ ?

Pls! does anybody know a shortcut for answering these types of questions in the future?

Find the roots of the equation below. x^2 - 6 + 9 = 0

Which of the following correctly justifies statement four of the two column proof? a. corresponding angles theorem b. transitive property of equality c. vertical angle theorem d. substitution property of equality