How do you graph #y < -2x#?

1 Answer
Shwetank Mauria
Feb 27, 2016

All the region to the left of line #y=−2x#, not including points on the line #y=−2x#, is the solution graph for #y<−2x#.

Explanation:

For drawing a graph of #y<−2x#, first draw a graph of #y=−2x#, which is a straight line passing through #(0,0)#, #(7,-14)# and #(-7,14)# as they satisfy the equality #y=-2x#.

As #y<−2x# (not equal but less than), obviously this line does not include points satisfying #y<−2x#. However, all the points to the left of it satisfy the inequality.

Hence, all the region to the left of line #y=−2x#, not including points on the line #y=−2x#, is the solution graph for #y<−2x#.

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