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. ]

Question

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

0 Answers/Comments

Not a good answer? Get an answer now. (FREE)

Rating

There are no new answers.

There are no comments.

How do you use the three basic control structures—sequential, repetition, and selection—in your everyday problem solving? Do you think there are any other control structures that would make your problem-solving skills more efficient? If so, describe them

Weegy: Sequential - Choosing what to order for lunch. Same steps every time: 1) Look at the menu, 2) Pick an item, 3) Order the item.
Repetition - Finding a parking spot. [ Repeatedly drive around the block until a spot opens up.
Selection - Deciding how to pay for something from the change in your pocket. Look at the change you have, and choose the correct coins necessary to pay for your purchase. ] (More)

Question

All Categories|No Subcategories|Expert Answered

Asked 6/27/2011 5:45:25 PM

0 Answers/Comments

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)

Question

All Categories|No Subcategories|Expert Answered

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

0 Answers/Comments

How do you use the three basic control structures—sequential, repetition, and selection—in your everyday problem solving? Do you think there are any other control structures that would make your problem-solving skills more efficient? If so, describe them

Weegy: A person uses those control structures to make all decisions in which they encounter. Repetition is an unconscious form in which the mind makes based on re-occurring. [ Selection is an automatic choice a person makes based on the ideals they have learned in the past. There are many factors and structures which will change ideals and the best methods are to stay structured from previous teachings. ] (More)

Question

All Categories|No Subcategories|Expert Answered

Asked 6/28/2011 7:59:29 PM

0 Answers/Comments

, 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)

Question

All Categories|No Subcategories|Expert Answered

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

0 Answers/Comments

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)

Question

All Categories|No Subcategories|Expert Answered

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

0 Answers/Comments