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Thread: Union and intersection

  1. #1
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    Question Union and intersection

    Question is that

    If
    A={parallelogram}
    B={rectangle}
    C={Squares}

    Find AUB,B intersection C and A intersection C.

    I want to know how to sole these questions ?
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  2. #2
    Senior Member abhishekkgp's Avatar
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    Quote Originally Posted by haftakhan View Post
    Question is that

    If
    A={parallelogram}
    B={rectangle}
    C={Squares}

    Find AUB,B intersection C and A intersection C.

    I want to know how to sole these questions ?
    true or false??:
    1)every rectangle is a parallelogram.
    2)every square is a rectangle.
    3)every square is a parallelogram.
    answer the above and then re-attempt.
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  3. #3
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    All are false
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  4. #4
    Senior Member abhishekkgp's Avatar
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    Quote Originally Posted by haftakhan View Post
    All are false
    well... i am pretty sure all are true.
    define the following:
    1)rectangle
    2)parallelogram
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  5. #5
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    there shapes are different but yes both have a same thing that both have 2 equal parallel sides
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  6. #6
    Senior Member abhishekkgp's Avatar
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    Quote Originally Posted by haftakhan View Post
    there shapes are different but yes both have a same thing that both have 2 equal parallel sides
    what do you finally think?? were those statements true or false?
    and you must be able to define each of the three shapes before attempting the problem.
    would you like to try that and post it here??
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  7. #7
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    Hello, haftakhan!

    \text{Given: }\;\begin{bmatrix}A&=&\{\text{parallelograms}\} \\ B & = & \{\text{rectangles}\} \\ C &=&\{\text{squares}\} \end{bmatrix}

    \text{Find: }\;(a)\;A\;\cup\,B \quad (b)\;B\,\cap\,C \qquad (c)\;A\,\cap\,C

    Consider the definitions of the three shapes.

    . . Parallelogram: Quadrilateral with opposite parallel.

    . . Rectangle: Quadrilateral with opposite sides parallel and right angles.

    . . Square: Quadrilateral with opposite side parallel and right angles and all sides equal.


    Note that:

    . . {Parallelograms} includes Rectangles and Squares.

    . . {Rectangles} includes Squares.


    So we have:

    . . A \;=\;\{\text{parallelograms, rectangles, squares}\}
    . . B \;=\;\{\text{rectangles, squares}\}
    . . C \;=\;\:\{\text{squares}\}


    Now answer the questions . . .

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