State whether each of the following statements is true or false. If you decide that a statement is false, explain why this is the case.

\(x^2 -5x +6 =0\ \implies\ x = 2\).

\(f:x\rightarrow x^2\) and \(g:x\rightarrow x^3\ \implies\ fg: x\rightarrow x^5\).

\(|x+1| < 1\ \implies\ x < 0\).