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

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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.
Consider responding to a classmate by determining whether or not the solution ...**Weegy:**
Substitute the value for the variable and do whatever arithmetic is necessary to see if you have a true statement or not. If the statement is true, the value is an element of the solution set. [ If the statement is false, it is not an element of the solution set.
How is this different from determining if a value is a solution to an equation? The method is not different.
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?
Answer: Yes, but only if the inequality sign is the "or equal" variety. For example, given the equation x=5, replace the equal sign with a 'greater than or equal' sign: x%3E=5. In this case, 5 is an element of the solution set for both the equation and the inequality. However, given the same equation and replacing the equal sign with a 'greater than' sign results in this inequality: x%3E5. In this case, the equation and the inequality have no elements of their solution sets in common. There is only one element in the solution set to the equation, namely the number 5. There are an infinite number of elements in the solution set to the inequality, but none of those elements are the number 5.
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Asked 6/28/2011 6:51:41 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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I use the sequential structure everyday in the order I get things together for my son. I have a particular order for getting his clothes ready and his change of clothes also. I follow this everyday so that I make sure I have everything in hand for any emergencies that he may face on any given day. Following this sequence helps make sure things that may happen later in the day are covered by what we do in the morning.
I use the repetition structure since he is potty training and it is teaching ...**Weegy:** I think as long as your son is happy and eating healthy, there is nothing wrong with your tactic. (More)

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Asked 7/1/2011 10:16:06 AM

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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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