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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.
When solving a system of linear inequalities what does the region that is never shaded represent?
It represents the solution set.
What consists of 2 or more linear inequalities in the same variable?
A system of linear inequalities
Is it possible to have a system of linear inequalities where solution is every point in the entire?
Yes, you can say something like y < infinity and y > -infinity .
How are linear equations and linear inequalities similar?
A linear equation corresponds to a line, and a linear inequality corresponds to a region bounded by a line. Consider the equation y = x-5. This could be graphed as a line going through (0,-5), (1,-4), (2,-3), and so on. The inequality y > x-5 would be the region above that line.
When does A system of two linear inequalities have a solution?
When there is an ordered pair that satisfies both inequalities.
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 the solution of a system of linear inequalities be the points on a line?
yes
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.
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.
Do solutions to systems of linear inequalities need to satisfy linear inequalities?
No. For example, the solution to x ≤ 4 and x ≥ 4 is x = 4.
What are the uses of linear inequalities?
In question and answer logic answers are given and if they fall in an area bounded by the inequality then it is a good answer. After graphing three or more inequalities the vertexes are the possible maxima of the system of equations.
When is system of linear inequalities have no solution?
When the lines never intersect, usually when they are parallel.
A system of two linear inequalities has either no points or infinitely many points in its solution?
the answer is true
When solving a system of linear inequalities what does the region that is never shaded represent?
It represents the solution set.
How many solution does a linear inequality in one variable have?
Inequalities tend to have infinitely many solutions.
Can the solution of a system of linear inequalities be the point of a line explain?
It's pretty much always the point of a line because the soulution of the system is always an ordered pair where the two or more lines intersect
