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What is the image obtained by plotting all the points that satisfies an equation or inequality A visual representation of data?
The image obtained by plotting all the points that satisfy an equation or inequality is called a graph. This visual representation illustrates the relationship between variables, allowing for the analysis of trends, patterns, and solutions. In the case of inequalities, the graph can show areas that meet the specified conditions, often shaded to indicate feasible solutions. Overall, graphs are essential tools for understanding mathematical concepts and data relationships.
When we plot all the points that satisfy an equation or inequality we do what to it?
Graph it (the equation).
What ordered pairs satisfy y-5x?
The question does not contain an equation nor an inequality. There cannot, therefore be any ordered pairs which can satisfy an expression.
What are 3 solutions for inequality for y9?
Three solutions for inequality in Year 9 math include: Graphing: Plotting the inequality on a graph helps visualize the solution set, showing all the points that satisfy the inequality. Substitution: Testing specific values in the inequality can help determine if they satisfy the condition, providing a practical way to find solutions. Algebraic Manipulation: Rearranging the inequality by isolating the variable can simplify the problem and lead directly to the solution set.
How do solutions differ for an equation and an inequality both algebraically and graphically?
Algebraically, solutions to an equation yield specific values that satisfy the equality, while solutions to an inequality provide a range of values that satisfy the condition (e.g., greater than or less than). Graphically, an equation is represented by a distinct curve or line where points satisfy the equality, whereas an inequality is represented by a shaded region that indicates all points satisfying the inequality, often including a boundary line that can be either solid (for ≤ or ≥) or dashed (for < or >). This distinction highlights the difference in the nature of solutions: precise for equations and broad for inequalities.
When we plot all the points that satisfy an equation or inequality we do what to it?
Graph it (the equation).
When we plot all the points that satisfy an equation or inequality we it?
graph
When we plot all the points that satisfy an equation or inequality we?
graph
A solution that does not satisfy the original equation?
an extraneous solution.
What ordered pairs satisfy y-5x?
The question does not contain an equation nor an inequality. There cannot, therefore be any ordered pairs which can satisfy an expression.
Is there ever a time when the same value will be a solution for both the equation and the inequality?
Yes, but only when the inequality is not a strict inequality: thatis to say it is a "less than or equal to" or "more than or equal to" inequality. In such cases, the solution to the "or equal to" aspect will satisfy the corresponding inequality.
Which ordered pairs satisfy y-5x?
None. There is no equation or inequality in the question - only an expression. An expression cannot have a solution.
When we plot all the points that satisfy an equation or inequality what do we do?
We identify a set of points in the relevant space which are part of the solution set of the equation or inequality. The space may have any number of dimensions, the solution set may be contiguous or in discrete "blobs".
What is the ordered pair for y-10x?
The question does not contain an equation nor an inequality. There cannot be any ordered pair which can satisfy an expression.
What is equation plotting?
Equation plotting is the graphical representation of mathematical equations on a coordinate plane, allowing visualization of relationships between variables. This process involves calculating points that satisfy the equation and then connecting these points to form a curve or line. It is commonly used in various fields, including mathematics, physics, and engineering, to analyze functions and understand their behavior. Tools like graphing calculators or software can facilitate this plotting process.
What is the points where used to graph linear inequalities?
To graph linear inequalities, you first identify the boundary line by rewriting the inequality in slope-intercept form (y = mx + b) and plotting the corresponding linear equation. If the inequality is strict (e.g., < or >), you use a dashed line to indicate that points on the line are not included. For non-strict inequalities (e.g., ≤ or ≥), a solid line is used. Finally, you shade the appropriate region of the graph to represent the solutions that satisfy the inequality, based on whether the inequality is greater than or less than.
In a nonlinear inequality which region represents the set of points that satisfy the inequality?
shaded
