The number of triangles that the four lines y =  x + 3, y = 2x + 3, y = 3x + 2, and y +  x = 3 form is

A rough sketch of the lines is given. There are three triangles, namely ABC, ABD, ACD.   The triangles are ABC,BCD, ABD, PQD,PBR,PBS,ARQ,RBS,QBS,BPRTotal 10 triangles