Answer:
see attached
Explanation:
You want the solution to the inequality y < 2x.
Solution
A linear inequality in two variables has a solution set that is half of the x-y coordinate plane. Replacing the inequality symbol with an equal sign gives the equation of the boundary line of that half-plane. If the "or equal to" case is included in the inequality, then the boundary line itself is part of the solution space. Otherwise, it is not. The latter case is indicated by graphing the boundary line as a dashed line.
You can look at either of the variables relative to the inequality symbol to see which half of the plane is shaded (part of the solution set).
Here, we can see "y <" or "< x" to tell that the shading is below the line and/or to its right, where y-values are less than those on the line, and x-values are greater than those on the line.
The attachment shows the boundary line, and the shaded area that represents the solution set for the given inequality.
__
The boundary line is y=2x, a line with slope 2 that passes through the origin.