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How do you figure out which side to shade in an inequality that has two equations?
To determine which side to shade in an inequality with two equations, first graph the lines represented by the equations. For each inequality, choose a test point not on the line (commonly the origin, if it's not on the line), and substitute its coordinates into the inequality. If the inequality holds true, shade the side of the line that includes the test point; if it does not hold true, shade the opposite side. Repeat this process for the other inequality, and the shaded regions will indicate the solution to the system.
What else can I help you with?
How is graphing a linear inequality different than graphing a linear equation?
In an inequality, you have to shade a side of a line to see show if the possible answers are greater than or equal to it
When doing algebra how do you know what region to shade?
Given an inequality, you need to decide whether you are required to shade the region in it is TRUE or FALSE. If you are given several inequalities, you would usually be required to shade the regions where they are false because shading is additive [shading + shading = shading] and you will be left with the unshaded region where all the inequalities are true.Next, select any point which is not of the line or curve for the inequality. Plug its coordinates into the inequality: it the result FALSE? If so, shade the region (relative to the line or curve) in which the point is found. If substituting the coordinates gives an inequality which is TRUE then shade the regions which is the other side of the line or curve.
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 is graphing a linear inequality the same as graphing a liner equation?
They are alike in that you graph the lines in the same way, but they are different because you have to shade in one side of the line
Solve inequality 5x-10 x plus 6?
The inequality sign got lost when writing the question. Anyway, inequalities are basically solved the same way as equations; you transfer everything that has the variable ("x") to one side, and everything else to the other side of the equation - or inequality. The major care you must take is that in an inequality, if you multiply or divide by a negative number, the inequality sign changes direction - for example, a less-than becomes a greater-than.
When you graph inequalities how do you know what to shade?
Pick a test point, (the origin is the most convenient unless the line of the inequality falls on it), and plug it into the same linear inequality. If the test point makes the inequality true, then shade that side of the line. If the test point makes the inequality false, then shade the opposite side of the line.
How is graphing a linear inequality different than graphing a linear equation?
In an inequality, you have to shade a side of a line to see show if the possible answers are greater than or equal to it
When doing algebra how do you know what region to shade?
Given an inequality, you need to decide whether you are required to shade the region in it is TRUE or FALSE. If you are given several inequalities, you would usually be required to shade the regions where they are false because shading is additive [shading + shading = shading] and you will be left with the unshaded region where all the inequalities are true.Next, select any point which is not of the line or curve for the inequality. Plug its coordinates into the inequality: it the result FALSE? If so, shade the region (relative to the line or curve) in which the point is found. If substituting the coordinates gives an inequality which is TRUE then shade the regions which is the other side of the line or curve.
Suppose y is alone on the left side of an inequality After you graph the boundary how can you decide whether to include the boundary in the graph and which region to shade?
If the inequality is strict (< or >) then the boundary is not included. Otherwise (≤ or ≥), it is.
How would you find out which side of the like to shade?
To figure out which side of the line to shade in a drawing you must first identify the direction of the light source. Shading the side of the line that is farthest away and opposite to the light.
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.
Which side of the line do you shade with inequality signs?
Whichever side contains all the numbers that satisfy the inequality. Generally, "greater than" points to the right side of the line or above it, and "less than" will lead to the left side or below it. But you have to be careful, and it would really help a lot if you understood the whole concept better than you presently do.
How is graphing a linear inequality the same as graphing a liner equation?
They are alike in that you graph the lines in the same way, but they are different because you have to shade in one side of the line
How do you Draw the graph of y is greater than or equal to -x plus 5?
(1) First draw the line y = -x + 5.To do that, find two points that lie on the line. Well, when x = 0, y = 5, so plot (0,5) on the plane. When x = 1, y = 4, so plot (1,4). Now draw the only straight line that goes through both of those points. Because the inequality allows for points to lie on the line itself (that's the "or equals to" part), you can make the line solid. If it were just "greater than" (and not equals to) you would draw a dotted line.(2) Shade the correct side of the line.This line divides the plane in two. One side is all the points that satisfy the inequality; on the other side of the line none of the points satisfy the inequality. We will shade in the side that satisfies the inequality. To figure out which side it is, pick a point not on the line, like (0,0). Plug it into your inequality:y >= -x + 50 >= 0 + g0 >= 5This is not true, so shade the side of the plane that does not contain the origin.
Solve inequality 5x-10 x plus 6?
The inequality sign got lost when writing the question. Anyway, inequalities are basically solved the same way as equations; you transfer everything that has the variable ("x") to one side, and everything else to the other side of the equation - or inequality. The major care you must take is that in an inequality, if you multiply or divide by a negative number, the inequality sign changes direction - for example, a less-than becomes a greater-than.
How are linear inequalities different from linear equations?
A linear equation represents a line. A linear inequality represents part of the space on one side (or the other) of the line defined by the corresponding equation.
Place the following steps to graphing inequalities in the appropriate order.?
To graph inequalities, first, begin by rewriting the inequality in slope-intercept form (y = mx + b) if necessary. Next, graph the corresponding equation as if it were an equality, 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 solutions of the inequality.
