The common solution set of the inequations `(x)/(2) + (y)/(2) le1 and x + y gt2` is ____

Options

A. `{(x,y)//x lt 2 and y gt 2}`
B. `{(x, y)//x lt 1 and y gt 1}`
C. an empty set
D. `{(x, y)//x lt 2 and y lt 1}`

Answer

C

Explanation

Apply the concept of half planes in the coordinate system