How do you graph the inequality #x+5y<=7#?

1 Answer
A. S. Adikesavan
Apr 12, 2016

Draw the straight line #y = (7-x)/5# that passes through (7, 0) and (0, 7/5). Shade the region below this line (including this line) in the negative y-directions, Enter therein #x+5y<=7#.

Explanation:

The inequality is equivalent to #y<=(7-x)/5#.
Draw the straight line #y = (7-x)/5# that passes through #(7, 0) and (0, 7/5)#.
For any point (x, y) on this line or below this line, #y<=(7-x)/5#, and so, #x+5y<=7#.

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