when a graph is plotted in linear programming or for showing the working area according to the given situation ...
check the (x,y) points of the corresponding line eqn and draw a line ...
e.g if given equation of a line is
5x+4y<7
then First take Associated eqn 5x+4y=7
for x=0 y=7/4
for y=0 x=7/5
so points are (0,7/4), (7/5,0)
and the pt (0,0) (origin) satisfies the inequality as 0<7, as you see that points satisfy the inequality so the region included the origin should be shaded ...it could be above or below the line ...depending on the position of the line on the graph ...
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
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.
If x is less than one, the graph will be a number line with every point less than (but not including) 1 shaded.If x is greater than one, the graph will be a number line with every point greater than (but not including) 1 shaded.
Shade upward if the inequality involves a "greater than" comparison. Shade downward if the inequality involves a "less than" comparison.
if you have y <= f(x), then graph the function y = f(x) with a solid line, then shade everything below that 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.
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
Arrange the inequality so that the variable is on the left. ex x < 7 If not equal to put an open circle at the number (7 in my example) if less than shade the number line to the left ( less than = shade left) if greater than shade right. If equal to put a point ( shaded dot) on the number follow same rules for shading
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 in equaltities in two variables, you graph the two numbers and/or variables. then you look at the sign to see if its greater than, less than, greater than or equal to, or less than or equal to and you graph the line as dashed or a solid
If x is less than one, the graph will be a number line with every point less than (but not including) 1 shaded.If x is greater than one, the graph will be a number line with every point greater than (but not including) 1 shaded.
Shade upward if the inequality involves a "greater than" comparison. Shade downward if the inequality involves a "less than" comparison.
if you have y <= f(x), then graph the function y = f(x) with a solid line, then shade everything below that graph.
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!
A slope greater than 1 makes a graph be really steep. On the other hand, a slope less than 1 but greater than 0 makes a graph less steep. Therefore any fraction slope would give you a less steep graph.An example could be y=(1/3)x.
You go left three and make a dotted line straight up and down and shade to the left.
-1