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We identify a set of points in the relevant space which are part of the solution set of the equation or inequality. The space may have any number of dimensions, the solution set may be contiguous or in discrete "blobs".

Q: When we plot all the points that satisfy an equation or inequality what do we do?

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You can use a plot diagram to plot the points and if they all go straight through the origin then it is proportional

when graphing a line you simply plot the points based on the ordered pairs and connect the dots; there you have a line. An inequality graph refers to the shaded region of the coordinate plane that does not coincide with the line, hence the term, inequality.

X = 4 is a vertical line, 4 units to the right of the y-axis.

you create ordered pairs or a serious of (x,y) points on the graph which you can plot and connect with a straight line

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Graph it (the equation).

graph

graph

I suggest that you:* Solve the equation for variable "y". * Make a table of values, by calculating the value of "y" for different values of "x". * Plot the points * Join them by lines

(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.

You can use a plot diagram to plot the points and if they all go straight through the origin then it is proportional

So that you can plot out the points of a straight line on graph paper.

when graphing a line you simply plot the points based on the ordered pairs and connect the dots; there you have a line. An inequality graph refers to the shaded region of the coordinate plane that does not coincide with the line, hence the term, inequality.

y=-x Draw a straight line with slope -1 passing through (0,0). Or, plot (x,y) coordinates that satisfy the equation, and connect the dots.

You write it as: y = 5x-4 Then you calculate a few sample points, plot them, and draw a straight line through them. Since the equation is linear, two points are enough, in theory, but it is usually recommended to plot a third point, as a verification.

The simplest way is probably to plot the corresponding equality in the coordinate plane. One side of this graph will be part of the feasible region and the other will not. Points on the line itself will not be in the feasible region if the inequality is strict (< or >) and they will be if the inequality is not strict (â‰¤ or â‰¥). You may be able to rewrite the inequality to express one of the variables in terms of the other. This may be far from simple if the inequality is non-linear.

You plot the equation as a graph. Every one of the infinitely many points on the graph is a solution.