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.
A system of equations can have any number of inequalities.
Inequalities are not reflexive. Inequalities are not commutative.
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.
To determine the graph that represents the solution set of a system of inequalities, you need to plot each inequality on a coordinate plane. The solution set will be the region where the shaded areas of all inequalities overlap. Typically, the boundaries of the inequalities will be represented by solid lines (for ≤ or ≥) or dashed lines (for < or >). Identifying the correct graph involves checking which regions satisfy all the inequalities simultaneously.
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false
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.
A system of equations can have any number of inequalities.
Some can but some dont... p.s no offense your dumb xD
The definition of equivalent inequalities: inequalities that have the same set of solutions
Inequalities are not reflexive. Inequalities are not commutative.
Which system of inequalities has a solution set that is a line?
thug life it
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.
two inequalities joined by and or or. Drew Saddler was here
To determine the graph that represents the solution set of a system of inequalities, you need to plot each inequality on a coordinate plane. The solution set will be the region where the shaded areas of all inequalities overlap. Typically, the boundaries of the inequalities will be represented by solid lines (for ≤ or ≥) or dashed lines (for < or >). Identifying the correct graph involves checking which regions satisfy all the inequalities simultaneously.