Question 56343
Graph each of the 3 equations.

 y<=3  (this is y is less than or equal to 3)

this graph looks like a straight horizontal line, that crosses at y=3.
the area we are interested in is the area below this line. this is all points where y is less than or equal to 3.

 X>=1  (this is x is greater than or equal to 1)

this graph looks like a stright vertical line, that crosses at x=1.
the area we are interested in is the area to the right of this line. this is all points where x is greater than or equal to 1. shade this area.

3x-y<6

this can be rerranged to y > 3x-6

this graph looks like a straight diagonal line, that crosses at y = -6 and x = 3.
 
the area we are interested in is the area above this line. this is all points where y is greater than or equal to 3x-6.shade this area.

you should get a triangle which satisfies all the equations, ie, a triangle shaded in 3 times.shade this area. this triangle, represents points, (ie, values of x and y ,that satisfy ALL 3 linear inequalities)