1. Why does the inequality sign change when both sides are multiplied or divided by a negative number? Does this happen with equations? Why or why not?

Write an inequality to be solved with the answer. In your inequality, use both the multiplication and addition properties of inequalities.

2. How do you know if a value is a solution for an inequality? How is this different from determining if a value is a solution to an equation? If you replace the equal sign of an equation with an inequality sign, is there ever a time when the same value will be a solution to both the equation and the inequality? Write an inequality and provide a value that may or may not be a solution to the inequality.

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Solution:
If you look at the inequality 6>3, that means 6 is a bigger number than 3. However, if you multiply (-1) to both sides of the inequality, you should change the sign, which leads to
-6<-3, since -6 is a smaller number than -3. If you want to compare two negative numbers, the bigger the absolute value is, the smaller the number is.
It does not happen in equation, because the equality sign does not have direction. For example, x=-2 is the same as –x=2

Example of solving inequality

(-x/2)+1 >0
Multiplying both sides by (-2), we have
x-2<0
Adding both sides ...

Solution Summary

This provides explanations of working with inequalities, included in a Word document file and worked through step by step.

Show your work step by step. Determine the constant that should be added to the binomial so that it becomes a perfect square trinomial. Write and factor the trinomial.
1. x^2 + 16x
2. x^2 + 5x
3. x^2 + 4 x
5
Show your work step by step. Solve each equation by completing the sq

1.What is the situation when two linear inequalities have no solution?
2.What are the conditions when the solution of a system of linear inequalities will be in the first quadrant?
3.Why is it true that at x-intercept, the value of y is 0, and at y-intercept, the value of x is 0?

1. Solve using the addition and multiplication principles.
2.4+17.8> 44.5 - 6.5x
The solution set{x|x> }.
2. Translate to an inequality.
A number is at least 13
The is _ _ _
(use x as the variable.)
3. Translate to an inequality. Use the variable x.
The number of people in the chess club is less t

Question 2
A linear programming problem may have more than one set of solutions. Answer True False
Question 3
In minimization LP problems the feasible region is always below the resource constraints. Answer True False
Question 19
Consider the following minimization problem:
Min z = x1 + 2x2
s.t.

What is the best method for solving absolute value inequalities?
The first most important part about solving absolute value inequalities is to understand that there are two types of inequalities. These are |ax+b|c. These inequalities have totally different solutions. This is because of the difference between the t

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