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To determine the inequality that represents a graph, you need to analyze its features, such as the shaded region and the boundary line. If the boundary line is solid, the inequality includes "≤" or "≥," while a dashed line indicates "<" or ">". The shaded region shows where the values satisfy the inequality. By identifying the slope and y-intercept of the line, you can formulate the correct inequality.
What else can I help you with?
What is the definition of graph of an inequality?
a graph
Is the graph of a line or inequality in two variables?
The graph of a line represents a linear equation in two variables, typically in the form (y = mx + b), where (m) is the slope and (b) is the y-intercept. In contrast, the graph of an inequality in two variables, such as (y < mx + b), includes a region that represents all the solutions to the inequality, often shaded to indicate the area where the inequality holds true. The boundary line for the inequality may be solid (for (\leq) or (\geq)) or dashed (for (<) or (>)). Thus, while both graphs can involve similar lines, their interpretations and representations differ significantly.
When graphing a linear inequality in two variables how do you know if the inequality represents the area above the line?
Take a sample point from either the top or bottom of the graph. I like to use (0,0) if it is not on the line. Substitute it into the inequality and if it is true then it represents all points on that line as true and vice versa.
Which inequality is shown in the graph?
To accurately determine which inequality is shown in the graph, I would need to see the graph itself. However, if the graph displays a shaded region above a line, it typically represents a "greater than" inequality (e.g., y > mx + b), while shading below the line indicates a "less than" inequality (e.g., y < mx + b). Additionally, if the line is solid, it indicates that the points on the line are included in the solution (≥ or ≤), whereas a dashed line indicates they are not (>, <).
How will you graph the solution of an inequality?
we should prevent inequality by
Choose the graph that correctly represents this inequality. (Click on a graph to enlarge it.)?
y
What part of an inequality graph represents the solution?
The Feasible Region
Which graph represents the solution set of the inequality x2-4x-50?
The question cannot be answered because there is no inequality there!
Find the graph of the inequality y -2x - 2?
-4
What is the definition of graph of an inequality?
a graph
Is the graph of a line or inequality in two variables?
The graph of a line represents a linear equation in two variables, typically in the form (y = mx + b), where (m) is the slope and (b) is the y-intercept. In contrast, the graph of an inequality in two variables, such as (y < mx + b), includes a region that represents all the solutions to the inequality, often shaded to indicate the area where the inequality holds true. The boundary line for the inequality may be solid (for (\leq) or (\geq)) or dashed (for (<) or (>)). Thus, while both graphs can involve similar lines, their interpretations and representations differ significantly.
Which inequality symbols are represented by a solid line on a graph?
The graph of an inequality is a region, not a line.
When graphing a linear inequality in two variables how do you know if the inequality represents the area above the line?
Take a sample point from either the top or bottom of the graph. I like to use (0,0) if it is not on the line. Substitute it into the inequality and if it is true then it represents all points on that line as true and vice versa.
Which inequality is shown in the graph?
To accurately determine which inequality is shown in the graph, I would need to see the graph itself. However, if the graph displays a shaded region above a line, it typically represents a "greater than" inequality (e.g., y > mx + b), while shading below the line indicates a "less than" inequality (e.g., y < mx + b). Additionally, if the line is solid, it indicates that the points on the line are included in the solution (≥ or ≤), whereas a dashed line indicates they are not (>, <).
How will you graph the solution of an inequality?
we should prevent inequality by
In the graph of a linear inequality the shaded region above or below the line is called?
The shaded region above or below the line in the graph of a linear inequality is called the solution region. This region represents all the possible values that satisfy the inequality. Points within the shaded region are solutions to the inequality, while points outside the shaded region are not solutions.
When graphing inequalities why do you shade the graph?
The part that is shaded represents all the possible solutions. An inequality has solutions that are either left or righ, above or below or between two parts of a graph.
