Answer
Sometimes
Work Step by Step
Let x equal 4 in all examples.
When y is positive, the statement is true.
$4\times0.5\gt0$
$2\gt0\checkmark$
When y is 0 or negative, the statement is false.
$4\times0\gt0$
$0\gt0\ \ X$
$4\times-1\gt0$
$-4\gt0\ \ X$