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The line must be solid if the inequality is strict (less than or greater than). It must be a dashed line if otherwise (less than or equal to, greater than or equal to).
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How do you know weather to shade above or below the line when graphing an inequality on the coordinate plane?
If the inequality has a > or ≥ sign, you shade above the line. If the inequality has a < or ≤ sign, you shade below it. Obviously, just an = is an equation, not an inequality.
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.
On a graphed inequality is a point that is on the line part of the solution?
It depends upon the inequality. All points on the line are those which are equal, thus:If the inequality is (strictly) "less than" () then the points on the line are not included; howeverif the inequality is "less than or equals" (≤) or "greater than or equals" (≥) then the points on the line are included.
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.
What is an equation that forms a line when graphed?
y=mx+b
Which compound inequality is graphed on the number line?
Any compound inequality, in one variable, can be graphed on the number line.
How do you know weather to shade above or below the line when graphing an inequality on the coordinate plane?
If the inequality has a > or ≥ sign, you shade above the line. If the inequality has a < or ≤ sign, you shade below it. Obviously, just an = is an equation, not an inequality.
Can linear equations and linear inequality be solved the same way?
Basically. If the inequality's sign is < or ≤, then you shade the part under the line. If the inequality's sign is > or ≥, then you shade the part over the line.
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.
Can a line segiment have holes or missing points?
Yes. Those lines are examples of when an inequality (≥ or ≤) is graphed.
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.
State how to choose which half plane to shade when graphing an inequality?
It is standard procedure to shade the area where the Inequality does NOT apply, leaving the unshaded area to show where the Inequality is valid. Choosing a simple illustration, the Inequality y > 6 would be graphically represented by a dotted line passing though y = 6 and parallel to the x-axis. The area below this line would be shaded as this represents the zone where y < 6. Note : A broken/dotted line is used to illustrate the boundary where a true Inequality applies (e.g. < or >). A solid line is used where the Inequality also includes an equals sign (e.g. ≤ less than or equal to, or ≥ greater than or equal to ).
How are linear equations and linear inequalities similar?
A linear equation corresponds to a line, and a linear inequality corresponds to a region bounded by a line. Consider the equation y = x-5. This could be graphed as a line going through (0,-5), (1,-4), (2,-3), and so on. The inequality y > x-5 would be the region above that line.
On a graphed inequality is a point that is on the line part of the solution?
It depends upon the inequality. All points on the line are those which are equal, thus:If the inequality is (strictly) "less than" () then the points on the line are not included; howeverif the inequality is "less than or equals" (≤) or "greater than or equals" (≥) then the points on the line are included.
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
How can you graph linear inequalities?
First put the inequality into the form ax + b < 0 or ax + b > 0 Next graph the equality y = ax + b which will be straight line. For the < case, shade the area below the line. For the > case , shade above the line. For <= or >= also shade the line itself.
How do you know where to shade on a graph?
If you mean with inequalities: 1. Change the inequality into an equation.2. Solve the equation for the initial line.3. Look back to the inequality.a.) greater than or equal to-shade above or to the left of your line,this line should be solidb.) greater than-shade above or to the left of your line,this line should not be solidc.) less than or equal to-shade below or to the right of your line,this line should be solidd.) less than-shade below or to the right of your line,this line should not be solidHope this helps.
