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What is the graph of the inequality in the coordinate plane?
The graph of an inequality in the coordinate plane represents a region that satisfies the inequality. For example, the inequality (y < 2x + 3) would be graphed by first drawing the line (y = 2x + 3) as a dashed line (indicating that points on the line are not included), and then shading the area below the line, which contains all the points that satisfy the inequality. The boundary line can be solid if the inequality is "less than or equal to" or "greater than or equal to."
What would x is greater than or equal to negative six look like as a graph?
At negative six on the x-axis, draw a vertical line. That line will be a solid line because we have that x is greater than OR EQUAL TO negative six. Then shade the right half of the graph -- which is where x has a value that is to the right (greater than) negative six
How do you describe the steps for graphing a two variable linear inequality?
To graph a two-variable linear inequality, first convert the inequality into an equation by replacing the inequality sign with an equal sign, which gives you the boundary line. Next, graph this line using a solid line for ≤ or ≥ and a dashed line for < or >. Then, determine which side of the line to shade by testing a point not on the line (usually the origin) to see if it satisfies the inequality. Finally, shade the appropriate region to represent all the solutions to the inequality.
What inequality represents the graph x -8?
The graph of the inequality represented by ( x - 8 ) is ( x \geq 8 ) if the graph includes the line itself (solid line) or ( x > 8 ) if the line is not included (dashed line). This indicates that the solution set includes all values of ( x ) that are greater than or equal to (or greater than) 8, extending infinitely to the right on the number line.
What inequality represents the graph?
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.
Which inequality symbols are represented by a solid line on a graph?
The graph of an inequality is a region, not a line.
How would you know if the endpoint of the graph of an inequality should be a solid dot or open dot?
If the inequality includes 'or equal' then use a solid dot [the value is included]. If it doesn't use 'or equal' then use the open dot.
When will the graph of an equation inequality be a dotted line?
The line is dotted when the inequality is a strict inequality, ie it is either "less than" (<) or "greater than" (>). If there is an equality in the inequality, ie "less than or equal to" (≤), "greater than or equal to" (≥) or "equal to" (=) then the line is drawn as a solid line.
When graphing an inequality with the symbol less than or equal to what is drawn?
if you have y <= f(x), then graph the function y = f(x) with a solid line, then shade everything below that graph.
In the fallowing inequality determine if the graph would contain a solid or dotted line then determine If the solution is above or below the line?
To determine whether to use a solid or dotted line for a given inequality, check if the inequality includes equal to (≥ or ≤) or not (>) or (<). If it includes equal to, use a solid line; if not, use a dotted line. For the solution area, if the inequality is greater than (>) or greater than or equal to (≥), the solution lies above the line; for less than (<) or less than or equal to (≤), it lies below the line.
What is the graph of the inequality in the coordinate plane?
The graph of an inequality in the coordinate plane represents a region that satisfies the inequality. For example, the inequality (y < 2x + 3) would be graphed by first drawing the line (y = 2x + 3) as a dashed line (indicating that points on the line are not included), and then shading the area below the line, which contains all the points that satisfy the inequality. The boundary line can be solid if the inequality is "less than or equal to" or "greater than or equal to."
What is the equal to or greater then symbol on a graph?
If the graph is a two-dimensional plane and you are graphing an inequality, the "greater than or equal to" part will be shown by two things: (1) a solid, not a dotted, line--this part signifies the "or equal to" option--and (2) which region you shade. Shade the region that contains the points that make the inequality true. By shading that region, you are demonstrating the "greater than" part.
What would x is greater than or equal to negative six look like as a graph?
At negative six on the x-axis, draw a vertical line. That line will be a solid line because we have that x is greater than OR EQUAL TO negative six. Then shade the right half of the graph -- which is where x has a value that is to the right (greater than) negative six
How do you describe the steps for graphing a two variable linear inequality?
To graph a two-variable linear inequality, first convert the inequality into an equation by replacing the inequality sign with an equal sign, which gives you the boundary line. Next, graph this line using a solid line for ≤ or ≥ and a dashed line for < or >. Then, determine which side of the line to shade by testing a point not on the line (usually the origin) to see if it satisfies the inequality. Finally, shade the appropriate region to represent all the solutions to the inequality.
How do you solve the inequality and graph a solution?
I think you would use an average two step equation to solve. Graph on a number line. If it was -2, go over 2 to the left, and make a dot. It is hollow or solid. It is solid if there is a line beneath the less than or greater than sign indicating that it is equal to....
What inequality represents the graph x -8?
The graph of the inequality represented by ( x - 8 ) is ( x \geq 8 ) if the graph includes the line itself (solid line) or ( x > 8 ) if the line is not included (dashed line). This indicates that the solution set includes all values of ( x ) that are greater than or equal to (or greater than) 8, extending infinitely to the right on the number line.
What inequality represents the graph?
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.
