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Is it true or false To solve a system of inequalities you just need to graph each inequality and see which points are in the overlap of the graphs?
Wiki User
∙ 14y ago
True
Wiki User
∙ 14y ago
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To solve a system of inequalities graphically you just need to graph each inequality and see which points are in the overlap of the graphs?
True
The solutions to a linear inequality are the points in the plane that make the inequality true?
Yes, and no. The solution set to an inequality are those points which satisfy the inequality. A linear inequality is one in which no variable has a power greater than 1. Only if there are two variables will the solution be points in a plane; if there are more than two variables then the solution set will be points in a higher space, for example the solution set to the linear inequality x + y + z < 1 is a set of points in three dimensional space.
In a nonlinear inequality which region represents the set of points that satisfy the inequality?
shaded
The end points on a graph of a inequality?
point
Which inequalities have solid line and which ones have dashed lines?
Any line divides the Cartesian plane into two parts. When deciding whether the line should be solid or dashed, think of the points on the line. If these points are not in the permitted region then it will be a dashed line, otherwise it will be a solid line. Usually this will mean that a strict inequality is dashed.
To solve a system of inequalities graphically you just need to graph each inequality and see which points are in the overlap of the graphs?
True
What are bar graphs for?
bar graphs are for measuring points of data.
What is the difference between linear equations and linear inequalities?
It is easiest to describe the difference in terms of coordinate geometry. A linear equation defines a straight line in the coordinate plane. Every point on the line satisfies the equation and no other points do. For a linear inequality, first consider the corresponding linear equality (or equation). That defines a straight line which divides the plane into two. Depending on the direction of the inequality, all points on one side of the line or the other satisfy the equation, and no point from the other side of the line does. If it is a strict inequality (< or >) then points on the line itself are excluded while if the inequality is not strict (≤or ≥) then points on the line are included.
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
The end points are what on a graph of an inequality?
points
What types of equations or inequalities describe points x y that lie on a circle?
Linear equations or inequalities describe points x y that lie on a circle.
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.
The solutions to a linear inequality are the points in the plane that make the inequality true?
Yes, and no. The solution set to an inequality are those points which satisfy the inequality. A linear inequality is one in which no variable has a power greater than 1. Only if there are two variables will the solution be points in a plane; if there are more than two variables then the solution set will be points in a higher space, for example the solution set to the linear inequality x + y + z < 1 is a set of points in three dimensional space.
In a nonlinear inequality which region represents the set of points that satisfy the inequality?
shaded
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.
Can the solution of a system of linear inequalities be the points on a line?
yes
A system of two linear inequalities has either no points or infinitely many points in its solution?
the answer is true
