I think that you are asking about the linear inequalities with two variables, so my answer is related to them.
First, you have to draw the boundary line (be careful, if your inequality does not contain the equal sign, the boundary line will be a dashed line, because the points on the line are not solutions to the inequality), which divide the coordinate system in two half-planes.
Second, you have to test a point on either sides of the line (the best point is the origin, (0, 0), if it is not on the boundary line). If that point satisfies the inequality, then there are all its solutions, otherwise they are to the opposite side.
The part that is shaded represents all the possible solutions. An inequality has solutions that are either left or righ, above or below or between two parts of a graph.
strict inequality
When the value indicated by the circle is a valid value for the inequality.
because writing out all the solutions is not necessarliy a correct answer but a number line is and because graphing out also helps you get a mental image of the concept.
Yes, they can.
The part that is shaded represents all the possible solutions. An inequality has solutions that are either left or righ, above or below or between two parts of a graph.
its useful in graphing! equations, inequalities, ect pretty much graphing!
-5+8n<-101
strict inequality
To determine which points are solutions to a system of inequalities, you need to assess whether each point satisfies all the inequalities in the system. This involves substituting the coordinates of each point into the inequalities and checking if the results hold true. A point is considered a solution if it makes all the inequalities true simultaneously. Graphically, solutions can be found in the region where the shaded areas of the inequalities overlap.
tty
The definition of equivalent inequalities: inequalities that have the same set of solutions
Yes.
When the value indicated by the circle is a valid value for the inequality.
Yes.
The line that includes whatever variables are included in the equation.
If it is joined by an "and" it does. If it is joined by an "or" it does not.