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Is it possible to check all the numbers that are solutions of an inequality?
Not unless you have an infinite amount of time as there are an infinite amount of numbers that are solutions to an inequality.
Why is graphing the solutions of an inequality is more efficient than listing all the solutions of 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.
Which lists all the integer solutions of the inequality of 3?
The question cannot be answered since it contains no inequality.
Check all of the points that are solutions to the system of inequalities y 4x plus 3 y -4x plus 6?
the solution for the inequality 4x + 2 - 6x < -1 was x < 3/2
When graphing inequalities why do you shade the graph?
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.
Does checking just one inequality guarantee that a solution is correct?
Check all of the inequalities.
Why is graphing the solution of an inequality easier than listing all solutions?
so that you can easily tell what the answer is by extending the line on the graph instead of calculating it
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.
When graphing inequalities where can solutions be found?
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.
Why are linear equation and linear inequalities not solved in the same manner?
Although there are similarities, the solutions to a linear equation comprise all points on one line: a one-dimensional object. The solutions to a linear inequality comprise all points on one side [or the other] of a line: a two-dimensional object.
What are all the solutions to the following inequality Tan x is less than or equal to 0?
Tan x is negative or zero for all x between (pi/2, pi] and all odd multiples of that interval, i.e. (3pi/2, 2pi], etc.
What is the set of all numbers that make the inequality true?
It is the solution set for that particular inequality.
