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
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To graph an absolute value inequality on a number line, first, rewrite the inequality in its standard form. For example, for (|x| < a), this translates to (-a < x < a). Plot the critical points (in this case, -a and a) on the number line, using open circles for inequalities that are strict ((<) or (>)) and closed circles for inclusive inequalities ((\leq) or (\geq)). Finally, shade the appropriate region between or outside the critical points, depending on the inequality.
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".
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.
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Depends on what you mean. The first even number can be 0.2 or lesser. If you do not include decimal points, then I think zero is the first even number.
A lesser demon has 5,000 life points.
For the arrow to point in the same direction as the inequality sign, the inequality must be either "greater than" (>) or "less than" (<) for the open intervals, or "greater than or equal to" (≥) or "less than or equal to" (≤) for closed intervals. This indicates the direction of the solution set on the number line. If the inequality is "greater than" or "greater than or equal to," the arrow points to the right; if it is "less than" or "less than or equal to," the arrow points to the left.
I don't see any "following points".