One fundamental difference between a linear equation and a linear inequality lies in the number of possible solutions. A linear equation has a finite (limited) number of solutions while the linear inequality has a range (set) of solutions.

I need an example of an equation and an inequality that expresses the above difference.

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Consider the linear equation 3x + 7 = 11. This can be solved as 3x = 11 - 7 = 4, and therefore x = 4/3.

Thus, x = 4/3 is a solution of the linear equation 3x + 7 = 11, and is the only solution.

Now consider ...

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Neat and step-wise soltuion is provided. Examples provided.

1. The surface area S of a right prism is given by S = 2B + Ph.
B is the area of the base.
P is the perimeter of the base.
And h is the height of the prism. Solve for B.
2. The length of a rectangle is five times its width. If the area of the rectangle is 500m², find its perimeter.
3. The sum of two numbers is grea

With referrence to the last solutions u posted to me,may you please check no 1 I have a different solution from my workings.I not sure which one is correct,but I think mine might be.If so may u please edit the document because I failed to do so.I will use this over and over.

1. Determine which of the following are linearequations and which are not linearequations. State the reason for your answer.
(a) x + y = 1000
(b) 3xy + 2y + 15z - 20 = 0
(c) 2xy + 4yz = 8
(d) 2x + 3y 4z = 6.

1) In what fundamental way does the solution set of a system of linearequations differ from the solution set of a system of linear inequalities? Give examples. Discuss the important implications arising from this difference.
2) In your own words explain what is meant by a dependent system of linearequations. How does this dif

Find values of a, b and c ( if possible) such that the system of linearequations has (a) unique solution (b) no solution (c) an infinite number of solutions
x+ y = 0
y + z= 0
x +z =0
ax+by+cz=0

Hello, I am learning algebra 2. I have no help and the textbook gives very few and vague examples. Can someone help me with my algebra 2 work.
1.Find all solutions for the following system of equations. List the solutions as ordered pairs. {x^2+y^2-25 = 0
2x-y = -5
2.Solve the system of linea

Algebraequations, word problems, and graphs (see attachment)
1. solve the following system of equations:
x + 3y = 2
x = 6 - 3y
2. Determine the slope of the line shown in the right
3. Trains A and B are traveling in the same direction on parallel tracks. Train A is traveling at 60 miles per hour and train B is traveli