If you multiply or divide an inequality by a negative number,
you MUST flip the sign!
In this case:
1.
4<7 Multiply both sides by 7 , then by 6, then by 3, then by 10
7 * 6 * 3 * 10 = 1260 is positive number
You do not have to change the sign of inequality.
2.
11>-2 Add 5 to both sides, then add 3, then add (-4)
When you add or subtract any number ( positive or negative ) you do not have to change the sign of inequality.
3.
Same as 2.
4.
-8<8 Divide both sides by - 4, then by - 2 mean:
-8<8 * [ 1 / - 4 * ( - 2 ) ]
-8<8 * 1 / 2
If you multiply or divide an inequality by a positive number,
you do not have to change the sign of inequality.
1. 4<7 Multiply both sides by 7 , then by 6, then by 3, then by 10
2. 11>-2 Add 5 to both sides, then add 3, then add (-4)
3. -4<-2 Subtract 6 from both sides, then 8, and then 2
4. -8<8 Divide both sides by -4, then by -2
5. Write a short explanation of the effects of the above operations. Did this affect the inequality sign? Was it still true? Why or why not?
Can I get some help please I dont understand
4 answers
The point of the exercise is to show that operations with inequations are the same
as those with equations, EXCEPT when you multiply or divide both sides by a
negative, you must also reverse the inequality sign
I will do #4
-8<8 , which is true
it says to divide both sides by -4
-8/-4 < 8/-4
2 < -2 , which is now false. How do we make it true???
2 > -2 , I reversed the inequality sign
I don't know why in the exercise they did not include a multiplication by a negative
to show the property. They should have!
as those with equations, EXCEPT when you multiply or divide both sides by a
negative, you must also reverse the inequality sign
I will do #4
-8<8 , which is true
it says to divide both sides by -4
-8/-4 < 8/-4
2 < -2 , which is now false. How do we make it true???
2 > -2 , I reversed the inequality sign
I don't know why in the exercise they did not include a multiplication by a negative
to show the property. They should have!
Indeed
4.
-8<8 Divide both sides by - 4, then by - 2 mean:
Divide both sides by - 4 / - 2
Divide both sides by 8
If you multiply or divide an inequality by a positive number,
you do not have to change the sign of inequality.
-8/8<8/8
-1<1
4.
-8<8 Divide both sides by - 4, then by - 2 mean:
Divide both sides by - 4 / - 2
Divide both sides by 8
If you multiply or divide an inequality by a positive number,
you do not have to change the sign of inequality.
-8/8<8/8
-1<1
Write a short explanation of the effects of the above operations. Did this affect the inequality sign? Was it still true? Why or why not?