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 ?
Hello, haftakhan!
$\displaystyle \text{Given: }\;\begin{bmatrix}A&=&\{\text{parallelograms}\} \\ B & = & \{\text{rectangles}\} \\ C &=&\{\text{squares}\} \end{bmatrix}$
$\displaystyle \text{Find: }\;(a)\;A\;\cup\,B \quad (b)\;B\,\cap\,C \qquad (c)\;A\,\cap\,C$
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:
. . $\displaystyle A \;=\;\{\text{parallelograms, rectangles, squares}\}$
. . $\displaystyle B \;=\;\{\text{rectangles, squares}\}$
. . $\displaystyle C \;=\;\:\{\text{squares}\} $
Now answer the questions . . .