[A] Plane S contains points B and E.
False
As indicated in Figure A below, Plane S contains only point B (remarked in red). Point E (remarked in blue) lies on plane R.
[B] The line containing points A and B lies entirely in plane T.
True
As indicated in Figure B below, the line containing points A and B lies entirely in plane T. That line has been remarked in red and it is obvious that lies on plane T.
[C] Line v intersects lines x and y at the same point.
False
As indicated in Figure C below, line v intersects lines x and y, but line x in intersected at point B while line y (remarked in red) is intersected at point A (remarked in blue), and they are two different points, not the same.
[D] Line z intersects plane S at point C.
True
As indicated in Figure D below, line z that has been remarked in yellow, intersects plane S at point C that has been remarked in blue.
[E] Planes R and T intersect at line y.
True
As indicated in Figure E below, planes R and T intersect at line y. The line of intersection has been remarked in red.
