Logical operators

$x = 6

$y = 4

 ($x < 8 and $y > 3) = (6 < 8 and 4 > 3) = 1

 ($x < 8 && $y > 6) = (6 < 8 && 4 > 6) = 

 ($x < 8 or $y > 3) = (6 < 8 or 4 > 3) = 1

 ($x < 8 || $y > 6) = (6 < 8 || 4 > 6) = 1

 ($x < 8 xor $y > 3) = (6 < 8 xor 4 > 3) = 

 ($x < 8 xor $y > 6) = (6 < 8 xor 4 > 6) = 1

 !($x == $y) = !(6 == 4) = 1