Which of the following describes the largest subset of values of y within the closed interval [0,π] for which
sin(x+y)≤sin(x)+sin(y)
for every x between 0 and π, inclusive?
<spanclass=′latex−bold′>(A)</span>y=0<spanclass=′latex−bold′>(B)</span>0≤y≤4π<spanclass=′latex−bold′>(C)</span>0≤y≤2π<spanclass=′latex−bold′>(D)</span>0≤y≤43π<spanclass=′latex−bold′>(E)</span>0≤y≤π