Question

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

Answer 1

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`.