Results 1 to 3 of 3

Thread: Sketch the graph of P and Q

  1. #1
    Member
    Joined
    Apr 2008
    Posts
    107

    Sketch the graph of P and Q

    P = x < 10/3
    Q = -2 < or = x < or = 6


    On a number line, sketch the graph of:

    P:

    Q:

    P V Q:

    P ^ Q:

    (P V Q)':


    I had this problem on a test, and i need to see if i got them right! thanks

    oh and this one also:

    state the negation of "3 + 2 = 5 or 10<2"
    Follow Math Help Forum on Facebook and Google+

  2. #2
    is up to his old tricks again! Jhevon's Avatar
    Joined
    Feb 2007
    From
    New York, USA
    Posts
    11,663
    Thanks
    3
    Quote Originally Posted by NeedHelp18 View Post
    P = x < 10/3
    Q = -2 < or = x < or = 6


    On a number line, sketch the graph of:

    P:

    Q:

    P V Q:

    P ^ Q:

    (P V Q)':
    it would be hard to draw these here

    maybe Soroban can do it

    I had this problem on a test, and i need to see if i got them right! thanks

    oh and this one also:

    state the negation of "3 + 2 = 5 or 10<2"
    Let $\displaystyle P$ and $\displaystyle Q$ be statements. then,

    $\displaystyle \neg (P \vee Q) = \neg P \wedge \neg Q$

    now can you do it?
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Super Member

    Joined
    May 2006
    From
    Lexington, MA (USA)
    Posts
    12,028
    Thanks
    848
    Hello, NeedHelp18!

    Don't stick in equal-signs so carelessly . . .



    $\displaystyle P\!:\;\;x < \frac{10}{3}$

    $\displaystyle Q\!:\;\;-2 \leq x \leq 6$

    On a number line, sketch the graph of:

    $\displaystyle (a)\;P$
    . . . . $\displaystyle x < \frac{10}{3}$


    . . $\displaystyle ======o-----$
    . . . . . . . . . . $\displaystyle ^{\frac{10}{3}}$



    $\displaystyle (b)\;Q$
    . . . . $\displaystyle -2 \leq x \leq 6$


    . . $\displaystyle --\bullet======\bullet--$
    . . . . . $\displaystyle ^{\text{-}2}\qquad\qquad\quad\; ^6$



    $\displaystyle (c)\;P \vee Q$
    . . . . $\displaystyle \left(x < \frac{10}{3}\right)\:\text{ or }\:(-2 \leq x \leq 6)\quad\Rightarrow\quad (x \leq 6)$


    . . $\displaystyle =====\bullet--$
    . . . . . . . . . $\displaystyle ^6$



    $\displaystyle (d)\;P \wedge Q$
    . . . . $\displaystyle \left(x < \frac{10}{3}\right)\:\text{ and }\:(-2 \leq x \leq 6)\quad\Rightarrow\quad \left(-2 \leq x < \frac{10}{3}\right) $


    . . $\displaystyle --\bullet====o--$
    . . . . .$\displaystyle ^{\text{-}2}\qquad\quad\;\; ^{\frac{10}{3}}$



    $\displaystyle (e)\;(P \vee Q)'$
    . . . . $\displaystyle (x \leq 6)'\quad\Rightarrow\quad (x > 6)$


    . . $\displaystyle ---o====$
    . . . . . . .$\displaystyle ^6$




    State the negation of: .(3 + 2 = 5) or (10 < 2)

    . . $\displaystyle \text{(3 + 2}\neq 5)\:\text{ and }\:(10 \geq 2) $


    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Sketch the graph
    Posted in the Pre-Calculus Forum
    Replies: 5
    Last Post: Feb 26th 2011, 02:48 AM
  2. sketch sin graph
    Posted in the Pre-Calculus Forum
    Replies: 4
    Last Post: Feb 20th 2011, 12:34 PM
  3. sketch the graph of f(x)
    Posted in the Pre-Calculus Forum
    Replies: 5
    Last Post: Apr 18th 2010, 03:23 AM
  4. please help sketch the graph
    Posted in the Calculus Forum
    Replies: 1
    Last Post: Mar 23rd 2010, 07:22 AM
  5. Sketch graph help
    Posted in the Algebra Forum
    Replies: 2
    Last Post: Mar 7th 2010, 05:27 PM

Search Tags


/mathhelpforum @mathhelpforum