MATH

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

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asked by Jallai
  1. 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.

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    posted by Bosnian
  2. 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!

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    posted by Reiny
  3. 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

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    posted by Bosnian

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