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Pre-Algebra Solve & Graph: y<4/5x+4











































if possible I would like if someone can direct me step by step on how to graph this problem on a graph; y<4/5x+4

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Nov 18, 2010
Graphing an Inequality
by: Staff


The question:

if possible I would like if someone can direct me step by step on how to graph this problem on a graph; y < 4/5x+4


The answer:


Graphing is a lot of fun once you get the hang of it.

But first, the inequality sign in your equation is < (less than). The < means that the line you will draw on the graph will be a dashed line, not a solid line.

A dashed line tells a reader that none of the possible solutions for the inequality include those values represented by the line itself. All possible solutions will be less than (below) the values represented by the line.

(If the inequality sign in your equation had been ≤ (less than or equal to), you would draw a solid line. This would let a reader know that the possible solution values not only fall beneath the line, but also include the values represented by the line itself.)

There are two ways to graph your inequality:

1. Create a table of x-y values (also called a T chart), graph those values, then shade the area of the graph which is appropriate
2. Plot directly from the point-slope form of the equation: y = mx + b (that’s the form you are using), then shade the area of the graph which is appropriate.

I’m going to assume you would prefer using a table of x-y values to graph your equation:

This is your inequality:

y < 4/5x+4

for purposes of plotting, change the < sign to an = sign

y = 4/5x+4

create a table of x-y values

Choose values of x (arbitrarily), than compute y until you have at least 3 points you can plot. (You only need two points. The third point is used as a double check. All three points MUST form a straight line when graphed on x-y coordinates.)

For example:

x = 0, y = (4/5) * 0 + 4 = 0 + 4 = 4
x = 5, y = (4/5) * 5 + 4 = 4 + 4 = 8
x = 10, y = (4/5) * 10 + 4 = 8 + 4 = 12

Our final points are:

(x, y)
(0, 4)
(5, 8)
(10, 12)

Plot all three points on graph paper.

Using a ruler, draw a straight line (a dashed line) through all three points.

Next, shade the area of the graph below the dashed line with a pencil or a colored marker.

You are done. The colored (or shaded portion) of your graph represents all the possible solutions to your inequality: y < 4/5x+4

The software system we are using to answer your question will not allow me to upload a graph.

However, you can see what your final solution should look like by going to this website:

http://www.mathopenref.com/graphfunctions.html

Click the down arrow to the right of f(x) and select <

Enter (4/5)*x+4 for your equation

Click GRAPH



Thanks for writing.


Staff
www.solving-math-problems.com


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