Answer
a) No
b) No
Work Step by Step
a) There are a couple of ways of proving this, but the easiest way would be to find a counter example. And there are infinitely many. For example, let x= -2, so we have $-2 (-2 +1 ) \gt 0 $ which is equal to $ -2 \times -1 = 2 \gt 0 $. This is a counter example. The equation is still true when x is a negative number
b) The same way as before, let's find a counterexample. Let x = -6, $-6 (-6 +1 ) \gt 0 $ which equals $-6 \times -5 = 30 \gt0 $.
