the answer is true
None, one or infinitely many
yes
A linear inequality is all of one side of a plane. A quadratic inequality is either the inside of a parabola or the outside.
A system of linear equations can only have: no solution, one solution, or infinitely many solutions.
3
Inequalities tend to have infinitely many solutions.
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.
Inequalities are defining part of the plane So either they intersect in infinitely many point (either in a part of the plane or on a line) or they don't intersect 1 - zero solution x+y > 1 and x+y <0 2 - infinitely many solution x+y >2 and x + y > 3 (a part of the plane) x+y >=2 and x+y <= 2 (a line)
None, one or infinitely many
They can have none, one or infinitely many.
Systems of inequalities in n variables with create an n-dimensional shape in n-dimensional space which is called the feasible region. Any point inside this region will be a solution to the system of inequalities; any point outside it will not. If all the inequalities are linear then the shape will be a convex polyhedron in n-space. If any are non-linear inequalities then the solution-space will be a complicated shape. As with a system of equations, with continuous variables, there need not be any solution but there can be one or infinitely many.
yes it is possible for a system of two linear inequalities to have a single point as a solution.
When there is an ordered pair that satisfies both inequalities.
yes
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.
No. For example, the solution to x ≤ 4 and x ≥ 4 is x = 4.
its true because they have all have the same linear pair It's actually false