### Strictly Separating Set Characteristics

For both 1 and 2, could you tell me whether or not there is a hyperplane that strictly separates the given sets A,B. If there is, find one. If there is not, prove so please. 1) A={(x,y):abs(x) + abs(y) <=1}, B={(1,1)} 2) A={(x,y):xy >= 4}, B={(x,y):x^2+y^2 <= 1} where abs = absolute value