Yes, or look at it like a pac-man mouth wanting to eat the greater number.
An equality defines a specific point (or points). An inequality can define an interval.
solution set
points
Yes, and no. The solution set to an inequality are those points which satisfy the inequality. A linear inequality is one in which no variable has a power greater than 1. Only if there are two variables will the solution be points in a plane; if there are more than two variables then the solution set will be points in a higher space, for example the solution set to the linear inequality x + y + z < 1 is a set of points in three dimensional space.
shaded
We identify a set of points in the relevant space which are part of the solution set of the equation or inequality. The space may have any number of dimensions, the solution set may be contiguous or in discrete "blobs".
point
I don't see any "following points".
A lesser demon has 5,000 life points.
(4,1)
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