Sketch
the Venn diagram.
A Level Maths Notes: S1 – Advanced Questions on Venn Diagrams
More complicated question on Venn diagrams involve the use of simultaneous equations, or the introduction of a dummy variable x.
ExampleSketch
the Venn diagram.
(1)
(2)
Divide (1) by (2) to get
Substitute these into the equation
Then
and
from (1)
We can draw the Venn diagram.
Example:
and
are
independent.
and
Find
the possible values of
and draw a possible Venn diagram.
Label the intersectionthen
and
Sinceandare
independent
or
A possible diagram is shown
