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1) Replace the inequality signs in the solution and in the original question with = signs. Substitute the solution inn the question: it should make it true.
2) (Back to the inequalities) Pick another number that satisfies the solution inequality - e.g. if x>2, pick 5. Substitute this into the original inequality: if it makes it true, then you are good to go!
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Is the point of intersection always included in the solution of a system of inequalities?
It depends on whether the inequalities are strict or not.
Can the solution of a system of linear inequalities be the points on a line?
yes
How is the solution in a system of inequalities determine?
An inequality determines a region of space in which the solutions for that particular inequality. For a system of inequalities, these regions may overlap. The solution set is any point in the overlap. If the regions do not overlap then there is no solution to the system.
How do you solve questions that say which graph best represents the system of inequalities?
The solution to a system of inequalities is where the solutions to each of the individual inequalities intersect. When given a set of graphs look for the one which most closely represents the intersection, this one will contain the most of the solution to the the system but the least extra.
A system of two linear inequalities has either no points or infinitely many points in its solution?
the answer is true
