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When graphing circles how do you know which way to shade the line?
When graphing inequalities you use a circle to indicate a value on a graph. If the value is included in the solution to the inequality you would fill in the circle. If the value that the circle represents is not included in the solution you would leave the circle unshaded.
A closed circle when graphing an inequality means?
A closed circle on a number line or graph indicates that the endpoint is included in the solution set of the inequality. This typically represents inequalities that use "less than or equal to" (≤) or "greater than or equal to" (≥). In contrast, an open circle would indicate that the endpoint is not included. Thus, a closed circle signifies that the value at that point satisfies the inequality.
What other symbol is used for parenthesis in graphing inequalities?
In graphing inequalities, brackets ([]) are often used in conjunction with parentheses to indicate whether endpoints are included or excluded. Parentheses signify that the endpoint is not included (open interval), while brackets indicate that the endpoint is included (closed interval). For example, an inequality of x < 3 would be represented with a parenthesis around 3, while x ≤ 3 would use a bracket.
How do graph inequalities on a grid?
Graphing inequalities on a grid involves first translating the inequality into an equation to determine the boundary line. For example, for the inequality (y < 2x + 3), you would graph the line (y = 2x + 3) as a dashed line (indicating that points on the line are not included). Next, you select a test point (usually the origin, if it’s not on the line) to determine which side of the line to shade. The shaded region represents all the solutions to the inequality.
What shape isn't a polygon?
A circle; a line; or a shape composed of connected lines that do not make a single closed path. Sometimes people say a circle is in fact a polygon with an infinite number of sides. But a closed shape with an infinite number of sides would have to be made of sides with a length of zero; such "sides" are points and not lines. A circle does not therefore meet the definition of a polygon.
When graphing circles how do you know which way to shade the line?
When graphing inequalities you use a circle to indicate a value on a graph. If the value is included in the solution to the inequality you would fill in the circle. If the value that the circle represents is not included in the solution you would leave the circle unshaded.
How do you answer a inequalities on a number line?
x>2, you use an open circle above the #2 and shade to the right. If the equation was greater than or equal to 2, you would use a closed circle and shade to the right! Less than 2 would use the open circle to not include 2 and you would shade all numbers to the left of 2. Less than or equal to 2, solid circle which includes #2 and shade all #'s to the left of 2!
What shape has 1 side?
A shape cannot have only one side because it would not be closed. A shape must have at least three sides to be a closed figure (no "gaps")
Between 1 and 3include 1 and 3?
If you are referring to a number line: If it is between 1 and 3, then no you would not include 1 and 3... If the notation is [1,3] then 1 and 3 are included (both 1&3 would be closed circles on the # line) If the notation is (1,3) then 1 and 3 aren't included (1 & 3 would be open circles on the number line) If the notation is [1,3) 1 is included 3 is not (1 is a closed circle, 3 is an open circle on # line) If the notation is (1,3] 1 is not included, 3 is included (1 is open circle, 3 is closed circle on the # line)
Where to shade when graphing inequalities?
When graphing inequalities, you shade all areas that x and/or y can be. If the number is x, you shade left and right. If x is anywhere from -11 to ∞, then shade the area to the right of -11. If it is from -∞ to 5, shade the areas to the left of 5. If the number is y, then you go up and down, so if y is anywhere from 0 to ∞, shade all the areas above 0, and if it is from -∞ to 100, shade all the areas below 100. Combining x and y, usually restricts the areas you should shade. For example, if x is from -∞ to 7, and y is 3 to ∞, you would ONLY shade the areas that are to the left of 7 AND above 3.
What shape isn't a polygon?
A circle; a line; or a shape composed of connected lines that do not make a single closed path. Sometimes people say a circle is in fact a polygon with an infinite number of sides. But a closed shape with an infinite number of sides would have to be made of sides with a length of zero; such "sides" are points and not lines. A circle does not therefore meet the definition of a polygon.
Describe a system of equations that would be better graphed using graphing technology?
no.
What would macroeconomics stud?
Governments worldwide - they would foal inequalities and abuses of power.
Is the proper term graph paper or graphing paper?
I have never heard anyone call it 'graph paper' and since it doesn't already have a graph on it, the proper term would be 'graphing paper.'
What association would you expect if graphing number of hours worked and money earned?
Linear
Is there a less expensive alternative to the TI-83Maybe something closer to fifty dollars?
There is really not a graphing calculator alternative to the TI-83 that is less expensive. If you do not need graphing capabilities, there would be a cheaper alternative, but the TI-83 has everything you need for math and scientific graphing and has an easy learning curve.
How can you use coordinate graphs to solve linear equations and linear inequalities?
To solve it by coordinate graphs you would take a point from the line and plug in the X and Y value into the equations and or inequalities.
