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.
when the points on the graph are close to each other;)
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.
when the points on the graph are close to each other;)
y >= -3 + xThis is the same asy>= x-3Start off by sketching the regular graph of y=x-3 (should look the same as the graph of y=x but shifted down 3 places so that the y intercept is at the point (0,-3)).Now just shade the half of the graph where y is greater (so shade in the positive direction for y above the graph of the line).In the end you should have the graph of a diagonal line shaded over the top.***Note: You will draw your graph with a solid line because because the question says GREATER THAN OR EQUAL TO. If you ever get a graph that is strictly greater than or strictly less than, instead of drawing a solid line, draw a dotted line, to show that you're not including the values where y is equal to your function.If you get y> shade in the positive y direction and use a dotted line.................y< shade in the negative y direction and use a dotted line.................y>= shade in the positive y direction and use a solid line.................y
i dont know no