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Math Help - Inequalities

  1. #1
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    Inequalities

    1.Graph the following on a number line.

    a. {x]-3<=to x < 1, xER}

    b. {s] s^2 > 9, sER}

    2.Solve and graph each solution set. (belong to the set of real numbers)

    a. 3a-2<= to 7

    b. 2(s +3) - 3(s-5) >= to 12

    3. Solve. (set of real numbers)

    a. 5-4b divided by 3 <5

    4. A function is g(x)= 2(x-3)^2+ 4

    a. determine the range of g when x > 4

    b. determine the range of g when o <= to x <= to 6

    c. determine the domain of g when f(x) <= to 12.

    It would be appreciated since im lost in this.
    Last edited by Blast18; September 11th 2007 at 03:42 PM.
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  2. #2
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by Blast18 View Post
    1.Graph the following on a number line.

    a. {x]-3< or equal to x < 1, xER}

    b. {s] s squared > 9, sER}

    2.Solve and graph each solution set. (belong to the set of real numbers)

    a. 3a-2< or equal to 7

    b. 2(s +3) - 3(s-5) > or equal to 12

    3. Solve. (set of real numbers)

    a. 5-4b divided by 3 <5

    4. A function is g(x)= 2(x-3) square + 4

    a. determine the range of g when x > 4

    b. determine the range of g when o < or equal to x < or equal to 6

    c. determine the domain of g when f(x) < or equal to 12.

    It would be appreciated since im lost in this.
    i'm not sure i understand some of your questions. please retype them.

    use:

    <= for \leq
    >= for \geq
    ^ for powers. that is, to say s squared, type s^2
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  3. #3
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    fixed it
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  4. #4
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    Hello, Blast18!

    I figured out what the first one says . . .


    1. Graph the following on a number line.

    . . a)\;\;\{x\,|\,-3 \leq x < 1,\;x \in R\}

    It says:. The set of all number x such that
    . . x is between -3 and 1 (including -3)
    . . and x is a real number.

    You can visualize this set of numbers, can't you? .Graph it.

    . . .  - - \bullet=========\circ - -
    . . . . . \text{-}3 . . . . . . . . . . 1

    Use a "solid dot" at -3 to indicate that it is included.
    Use an "empty dot" at +1 to indicate that is not included.



    b)\;\;\{s\,|\,s^2 > 9,\; s\in R\}

    We want values of s such that: s^2 \,>\,9
    . . We find that: . s \,<\,-3 or s \,>\,3

    . . = = = \circ - - - - \circ  = = =
    . . . . . \text{-}3 . . . . . 3



    2. Solve and graph each solution set (real numbers).

    a)\;\;3a - 2\:\leq\:7

    You're expected to know how to solve an inequality.

    Add 2 to both sides: . 3a \:\leq \:9

    Divide both sides by 3: . a \:\leq \:3

    . . =======\bullet - - -
    . - . - . . . . . . 3



    b)\;\;2(s +3) - 3(s-5)\:\geq\:12

    We have: . 2s + 6 - 3s + 15 \:\geq \:12

    Then: . -s + 21 \:\geq \:12

    Subtract 21 from both sides: . -s \:\geq\:-9

    Multiply both sides by -1: . s \:\leq \:9
    .
    and reverse the inequality!

    . . =======\bullet--
    . - . - . . . . . . 9

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  5. #5
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    thanks hopefully someone can help me with the other questions
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