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 solid
b.) greater than-
shade above or to the left of your line,
this line should not be solid
c.) less than or equal to-
shade below or to the right of your line,
this line should be solid
d.) less than-
shade below or to the right of your line,
this line should not be solid
Hope this helps.
The equation 0 equals 0 is an identity and contributes absolutely nothing to the part of the graph that you should shade or not. The tautological statement can be ignored.
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.
If I can't see the graph then how will I know the answer?
You need to know what the graph points are.
To graph two-variable inequalities, first, graph the corresponding equation as if it were an equality (e.g., (y = mx + b)). Use a solid line for "less than or equal to" (≤) or "greater than or equal to" (≥) and a dashed line for "less than" (<) or "greater than" (>). Next, choose a test point (often the origin) to determine which side of the line to shade, representing the solution set. Finally, shade the appropriate region of the graph that satisfies the inequality.
The equation 0 equals 0 is an identity and contributes absolutely nothing to the part of the graph that you should shade or not. The tautological statement can be ignored.
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.
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.
The part that is shaded represents all the possible solutions. An inequality has solutions that are either left or righ, above or below or between two parts of a graph.
if you have y <= f(x), then graph the function y = f(x) with a solid line, then shade everything below that graph.
If I can't see the graph then how will I know the answer?
You need to know what the graph points are.
If the inequality is strict (< or >) then the boundary is not included. Otherwise (≤ or ≥), it is.
use a line graph. Place a solid dot at 4. Shade the entire region to the left of 4.x is Less than shade Left.* * * * * The above answer is so very wrong - it has missed out the key word "absolute".Use a line graph. Put a solid dot at -4 and another solid dot at +4 and join them. Every point on the line (including the two end points) is the graph.
To graph two-variable inequalities, first, graph the corresponding equation as if it were an equality (e.g., (y = mx + b)). Use a solid line for "less than or equal to" (≤) or "greater than or equal to" (≥) and a dashed line for "less than" (<) or "greater than" (>). Next, choose a test point (often the origin) to determine which side of the line to shade, representing the solution set. Finally, shade the appropriate region of the graph that satisfies the inequality.
To graph an inequality in two variables, first graph the corresponding linear equation as if it were an equality. Use a dashed line if the inequality is strict (e.g., < or >) to indicate that points on the line are not included, or a solid line for non-strict inequalities (e.g., ≤ or ≥). Next, determine which side of the line to shade by selecting a test point not on the line (commonly the origin) and checking if it satisfies the inequality. Shade the region that includes all solutions to the inequality.
when the points on the graph are close to each other;)