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Math Help - Inequalities

  1. #1
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    Inequalities

    When using math induction on inequalities, I know we can drop positive values from the inequality without altering the meaning.

    How can I word that better. I have wrote so far: Since 2+2^k are both positive, we can drop them from the inequality without .....

    How can I finish that sentence?

    Thanks.
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  2. #2
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    Quote Originally Posted by dwsmith View Post
    When using math induction on inequalities, I know we can drop positive values from the inequality without altering the meaning.
    How can I word that better. I have wrote so far: Since 2+2^k are both positive, we can drop them from the inequality without ..... How can I finish that sentence?
    Sorry, but as posted, your question does not make any sense.
    Please post a complete question, not just fragments
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  3. #3
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    My question has nothing to do with the problem but on how to word something; therefore, there is nothing I can copy from a book or problem set.

    Example:

    7<500\rightarrow 5+2<700

    We can drop the two and not affect the inequality.

    5<700

    For this example, I might write, since 2 is positive, I can drop it from the inequality without .....

    How can I finish that sentence.
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  4. #4
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    If you know that 0<2 then surely 5<5+2=7.

    Now what?
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  5. #5
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    Quote Originally Posted by Plato View Post
    If you know that 0<2 then surely 5<5+2=7.

    Now what?
    I am working on finishing a sentence correctly and have it make since. I am confused on why you are showing me ineqaulities.
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  6. #6
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    Quote Originally Posted by dwsmith View Post
    I am working on finishing a sentence correctly and have it make since. I am confused on why you are showing me ineqaulities.
    I am confused why you think that sentence needs completing?
    BTW: you mean sense
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  7. #7
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    For this example, I might write, since 2 is positive, I can drop it from the inequality without .....
    (1) breaking it; (2) making it false; (3) violating it; (4) changing its direction.
    I know we can drop positive values from the inequality without altering the meaning
    We can drop positive summands from the lesser side of the inequality.
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