Notice: Payments for answers will end 4/10/2017. Click for more info.
You have new items in your feed. Click to view.
Question and answer
Q: 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.
A: 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
Get an answer
New answers
Rating

There are no new answers.

Comments

There are no comments.

Add an answer or comment
Log in or sign up first.
25,793,695 questions answered
Popular Conversations
Aristotle was a student of Plato's. True False
Weegy: Aristotle was a student of Plato's. TRUE.
7/9/2017 6:34:10 PM| 1 Answers
Most collisions are caused by __________ A. drivers falling asleep at ...
Weegy: Most collisions are caused by driver's attitude.
7/9/2017 4:51:29 PM| 1 Answers
k2 + 3k + 2 = (k2 + k) + 2 ( __________ )
7/8/2017 8:58:45 AM| 1 Answers
Parasite can be Protozoa,fungi, or multicellular organisms. TRUE or ...
Weegy: Parasites can be protozoa, fungi, or multicellular organisms. TRUE.
7/7/2017 6:41:18 PM| 1 Answers
Development disabilities cannot be cured. TRUE or FALSE.
Weegy: Developmental disabilities cannot be cured. TRUE.
7/7/2017 6:00:57 PM| 1 Answers
. Classification of living things takes into consideration all of ...
Weegy: Classification of living things takes into consideration all of the following except: presence of cell ...
7/5/2017 12:07:33 PM| 1 Answers
What type of disorder is myasthenia gravis? A. Inflammatory ...
Weegy: Myasthenia gravis is a type of immune disorder. User: What surgical procedure involves breaking an ankylosed ...
7/5/2017 9:35:49 AM| 1 Answers
The lungs are the primary organ of the: digestive system respiratory ...
Weegy: The lungs are the primary organ of the: respiratory system. User: Endorphins are manufactured by the brain to ...
7/5/2017 6:54:42 AM| 1 Answers
During puberty you need more food and _____ to grow. oxygen carbon ...
Weegy: During puberty you need more food and oxygen to grow. User: Each cell in your body contains chromosomes.
7/5/2017 6:43:00 AM| 1 Answers
The condition of equilibrium that results in the displacement of the ...
Weegy: The condition of equilibrium that results in the displacement of the mantle by the continental and oceanic crust ...
7/10/2017 1:50:08 PM| 0 Answers
What is another name for the Circum-Pacific Belt? A. Pacific Ring ...
Weegy: Pacific Ring of Fire is another name for Circum-Pacific Belt
7/10/2017 1:47:35 PM| 0 Answers
Weegy Stuff
S
Points 29 [Total 30] Ratings 0 Comments 9 Invitations 2 Offline
S
Points 10 [Total 10] Ratings 0 Comments 0 Invitations 1 Offline
S
Points 10 [Total 10] Ratings 0 Comments 10 Invitations 0 Offline
S
Points 10 [Total 10] Ratings 1 Comments 0 Invitations 0 Offline
S
Points 10 [Total 10] Ratings 0 Comments 0 Invitations 1 Offline
S
Points 4 [Total 4] Ratings 0 Comments 4 Invitations 0 Offline
S
P
P
L
P
P
P
Points 4 [Total 1734] Ratings 0 Comments 4 Invitations 0 Offline
S
Points 3 [Total 3] Ratings 0 Comments 3 Invitations 0 Offline
S
Points 2 [Total 2] Ratings 0 Comments 2 Invitations 0 Offline
S
Points 2 [Total 2] Ratings 0 Comments 2 Invitations 0 Offline
* Excludes moderators and previous
winners (Include)
Home | Contact | Blog | About | Terms | Privacy | © Purple Inc.