Question

Graph the inequality on a coordinate plane.

Answer 1

\[5\le 3x+y or y \ge3x+5 ...(1)\]
consider y=3x+5
when x=0,y=5
when y=0,x=-5/3
draw the line AB

put x=0,y=0 in (1)
\[0+0 \ge 5\]
which is not true.
Hence origin does not lie on the graph.
Line AB and the shaded region is the required graph.