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Graphing an inequality such as y > mx + b is similar to graphing the equation y = mx + b, with a couple of differences:
- Since it is not equal, you draw a dashed line, rather than a solid line.
- If y is greater than: shade the area above the dashed line; less than: shade below the dashed line.
Since it's a system of linear inequalities, you will wind up with different shaded areas which overlap, creating a bounded area.
These types of problems usually come from some sort of real-world situation, such as finding optimum products from limited resources. Example is a farmer has a fixed number of acres to plant (or can use for cattle grazing, instead). Some crops grow faster than others, so time in-season is a limiting factor. Other things, such as money (how much to be spent on seed, watering, fertilizer, people or equipment to harvest, etc.)
The areas which overlap represent the scenarios which are possible with the given resources. Then you can look at the graph and figure out where there is a maximum profit for example.
What else can I help you with?
What consists of 2 or more linear inequalities in the same variable?
A system of linear inequalities
How do you solve a linear inequalities?
to solve a linear in equality you have to write it out on a graph if the line or shape is made ou of strate lines its linear
What does it mean by solving linear systems?
Solving linear systems means to solve linear equations and inequalities. Then to graph it and describing it by statical statements.
A graph of two simultaneous linear inequalities in two variables that have no intersecting regions must contain two lines with the same slope?
A graph of two simultaneous linear inequalities in two variables that have no intersecting regions must contain two lines with the same slope.
Which graph represents the following system of inequalities?
Need help
which graph shows the solution to the system of linear inequalities y>2x+1 y?
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Which graph represents the solution to the following system of linear inequalities?
To determine which graph represents the solution to a system of linear inequalities, you need to identify the boundaries defined by each inequality and their respective regions. Each inequality will create a half-plane, and the feasible solution set is where these half-planes overlap. The graph should show solid lines for inequalities that include equalities (≤ or ≥) and dashed lines for strict inequalities (< or >). Look for the region that satisfies all inequalities simultaneously.
How would you know if the solutions you found from the graphs of linear inequalities in a system are true?
To verify the solutions of a system of linear inequalities from a graph, check if the points satisfy all the inequalities in the system. You can do this by substituting the coordinates of each point into the original inequalities to see if they hold true. Additionally, ensure that the points lie within the shaded region of the graph, which represents the solution set. If both conditions are met, the solutions are confirmed to be true.
When we graph a system of two linear inequalities any point in the doubly shaded region has coordinates that contain both inequalities?
In a graph of a system of two linear inequalities, the doubly shaded region represents the set of all points that satisfy both inequalities simultaneously. Any point within this region will meet the criteria set by both linear inequalities, meaning its coordinates will fulfill the conditions of each inequality. Consequently, this region illustrates all possible solutions that satisfy the system, while points outside this region do not satisfy at least one of the inequalities.
What consists of 2 or more linear inequalities in the same variable?
A system of linear inequalities
Graph the system of inequalities y-2 and x3?
Graph the following Inequalities: x > 3
How do you solve a linear inequalities?
to solve a linear in equality you have to write it out on a graph if the line or shape is made ou of strate lines its linear
What does it mean by solving linear systems?
Solving linear systems means to solve linear equations and inequalities. Then to graph it and describing it by statical statements.
How do you know which region of the graph of a system of linear inequalities contains the solutions?
If the lines intersect, then the intersection point is the solution of the system. If the lines coincide, then there are infinite number of the solutions for the system. If the lines are parallel, there is no solution for the system.
When does A system of two linear inequalities have a solution?
When there is an ordered pair that satisfies both inequalities.
A graph of two simultaneous linear inequalities in two variables that have no intersecting regions must contain two lines with the same slope?
A graph of two simultaneous linear inequalities in two variables that have no intersecting regions must contain two lines with the same slope.
How do you differentiate linear inequalities in two variables from linear equations in two variables?
Linear inequalities in two variables involve expressions that use inequality symbols (such as <, >, ≤, or ≥), while linear equations in two variables use an equality sign (=). The solution to a linear equation represents a specific line on a graph, while the solution to a linear inequality represents a region of the graph, typically shaded to show all the points satisfying the inequality. Moreover, linear inequalities allow for a range of values, whereas linear equations specify exact values for the variables.
