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 for your classmates to

solve. In your inequality, use both the multiplication and addition properties of inequalities.
Consider solving your classmates’ inequalities. Explain how you arrived at your answers. Also, help other students who may be having difficulty solving inequalities. Ask clarifying questions if you need additional assistance.

An inequality states that one number is less than (or greater than) another. [ I think the best way to understand what happens when you multiply or divide an inequality by a negative number is to picture the situation, before and after, on the number line
Picture any two numbers on the number line. The one on the left is less than the one on the right. (The one on the right is greater than the

one on the left.) This is true whether the two numbers are both positive, both negative, a negative and a positive or zero and any number.
When you multiply (or divide) any non-zero number by a negative, its sign changes. If it was positive it becomes negative and if it was negative it becomes positive. On a number line, the number "flips" over to the other side of zero. When you multiply (or divide) both sides of an inequality this happens to both numbers, the one on the "less than" side and the one on the "greater than" side. Both sides "flip". And when this happens the number that was on the left of the other before is now to the right of the other. In other words, what was less than before is now greater than. (And the number that was to the right (i.e. greater than) ends up to the left of (or less than) the other number.) This is why we have to reverse ("flip") the inequality whenever we multiply or divide it by a negative number. If you're still having trouble with this, try the following:
Pick any two (different) numbers.
Write the two numbers on the same line with some space between them.
Pick any negative number
Multiply or divide (your choice) both of the first two numbers by this negative number and write the answers on another line with some space between them.
Now, on each line, decide which inequality symbol belongs between the two numbers and write it there. (if you have trouble with this, plot the numbers on a number line. ]

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Asked 6/27/2011 5:55:02 PM

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The multiplication principle for inequalities that is similar to that for equations. If you multiply on both sides of a negative number, the direction of the inequality symbol must be changed, 4 6x3
what do you think about this? **Weegy:** Inequalities
The usual total order relation = : N × N can be defined as follows, assuming 0 is a natural number:
For all a, b ? N, [ a = b if and only if there exists some c ? N such that a + c = b.
This relation is stable under addition and multiplication: for a, b, c \in N , if a = b, then:
a + c = b + c, and
a · c = b · c.
] (More)

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Asked 6/27/2011 6:03:00 PM

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, think about the pseudocode algorithm you would write for a simple task, such as making a peanut butter sandwich, for example, as well as three simple control structures that could be used to create this algorithm. What do you think is the most difficult part of creating the algorithm? What can you do to make this process easier? **Weegy:** Weegy does not do your homework (More)

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Asked 6/29/2011 6:55:50 PM

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When doing the same thing everyday, it sort of becomes second nature. If something comes out of place, you your senses will tell you that something is not right. The same thing can be said when doing things like coding. I think that the three structures are here to help up get use to doing the same things over and over again so that we will know what to look for when doing things like coding. what do you think about this?
**Weegy:** I think you are right, but sometimes we do need a change and not keep the rutine (More)

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Asked 7/1/2011 10:44:21 AM

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When I order my lunch it can sometimes be in the repetition structure. I think I know what I want and than I go back to the menu at the last minute. Sometimes the food place may run out of chicken nuggets, so I have to go back and see what else I may want. After reading your entry I thought could a program have more than one structure in a program?
**Weegy:** Yes, a program could have more than once structure in a program. (More)

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Asked 7/1/2011 11:05:57 AM

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I like how your answer was quick and straight to the point. I focused more on the problem solving that I do at work, but we do a lot of problem solving during our everyday life's. Choosing what to eat can also be classified as selection. Their has been plenty of times that I was hungry, but could not decide on what I wanted. Also, when we look at it like that, our jobs include all of control sequences. Their is a list of steps that we all do at our jobs, and their is a lot of repetition at ...**Weegy:** I believe selection process is based on where you begin. If you are hungry and haven't had any of the choices in a while, they might all look appetizing. Or if you had chicken nuggets yesterday, it may be a no-brainer that you do not want them today. [ OR you may want them again because they were so good yesterday. The selection process makes total sense if you know exactly where the subject is beginning. But without the starting point, it may seem random. ] (More)

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Asked 7/1/2011 11:09:32 AM

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