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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.
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.
Can the solution of a system of linear inequalities be the points on a line?
yes
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
Does checking just one inequality guarantee that a solution is correct?
Check all of the inequalities.
Every system of inequalities has a solution?
Which system of inequalities has a solution set that is a line?
When does A system of two linear inequalities have a solution?
When there is an ordered pair that satisfies both inequalities.
How do you know if a system has one solution?
If the equations or inequalities have the same slope, they have no solution or infinite solutions. If the equations/inequalities have different slopes, the system has only one solution.
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.
How many solution sets do systems of linear inequalities have Must solutions to systems of linear inequalities satisfy both inequalities In what case might they not?
A solution to a linear inequality in two variables is an ordered pair (x, y) that makes the inequality a true statement. The solution set is the set of all solutions to the inequality. The solution set to an inequality in two variables is typically a region in the xy-plane, which means that there are infinitely many solutions. Sometimes a solution set must satisfy two inequalities in a system of linear inequalities in two variables. If it does not satisfy both inequalities then it is not a solution.
Can some systems of inequalities have no solution?
true
How many solution sets do systems of linear inequalities have. Must solutions to systems of linear inequalities satisfy both inequalities. In what case might they not?
There is only one solution set. Depending on the inequalities, the set can be empty, have a finite number of solutions, or have an infinite number of solutions. In all cases, there is only one solution set.
Is there a solution to the inequalities of y2x plus 3 and y2x-1?
Thanks to the browser, it is not possible to tell what the inequalities are.
Is it possible for a system of two linear inequalities to ha a single point as a solution?
yes it is possible for a system of two linear inequalities to have a single point as a solution.
Which system of inequalities has no solution?
Which system of inequalities has no solution?A.y > 3x - 1y < 3x - 3B.y > 3x + 3y < 3x + 7C.y > -1y < 2y > 2x - 3re...
What is the intersections of the graphs in a system of inequalities?
It is a point that may or may not be a solution to the system - depending on whether or not the inequalities are strict.
