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A bivariate linear inequality.

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12y ago

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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.


In the graph of a linear inequality the shaded region above or below the line is called a?

it is called a half plane :)


WHAT IS A GRAPH CALLED THAT IS A STRAIGHT LINE?

A graph that is a straight line is called a linear graph. It represents a linear relationship between two variables, typically expressed in the form of a linear equation, such as y = mx + b, where m is the slope and b is the y-intercept. Linear graphs indicate a constant rate of change between the variables.


Graph the solution set of the linear inequality 5x-2y4?

graph the inequality 5x+2y<4


HOW DO WE graph linear inequalities that involves two variables?

To graph linear inequalities involving two variables, first, rewrite the inequality in slope-intercept form (y = mx + b) if necessary. Next, graph the corresponding linear equation as if it were an equality (using a solid line for ≤ or ≥ and a dashed line for < or >). Finally, shade the appropriate region of the graph: above the line for greater than or greater than or equal to, and below the line for less than or less than or equal to. This shaded area represents all the possible solutions to the inequality.


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.


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.


How can you represent acceleration on a linear graph?

The answer will depend on the variables plotted on the graph!


What is the graph of a linear equation in two variables?

straight line


What is the graph of linear equaton in two variables?

if the linear equation is x+y=1 means we are having the graph points (1,0) (2,-1)....using this graph we can draw the graph


The graph of the linear equation in two variables?

y=x+2


What Type of graph graph that shows the relationship between two variables?

linear graph between an independent and independent variable