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How To Use Venn-diagram For Verify The Following

How do you use Venn diagrams to verify De Morgan's Law?

Draw two circles that intersect each other.

Then a rectangle around them.

P \/ Q is the contents are both circles including the intersection. So (P \/ Q)' is the area between the circles and the rectangle.

Colour it in.

RHS:
Draw another venn diagram with two circles intersecting.

Shade the P' area with a coloured pen.(everything outside P)

Now shade Q' with a different colour.

The place with there is both colours is the intersection P'/\Q'.

This corresponds to the first diagram so De Morgan's Law is illustrated.

How do you use Venn diagrams to verify De Morgan's Law?

draw two intersecting cicles , named P and Q
, P v Q is the union of the two, (PvQ) ' , is the outside .

P' is the outside of P, Q' the outside of Q,

P' and Q' is the intersection of both outsides

Use venn der diagrams to verify that : (A U B ) U C is the same event as A U ( B U C )?

On a Venn Diagram, both problems, (AUB)UC and AU(BUC), will both have A only, B only, and C only shaded in. No overlapping areas will be shaded (this means that the area between circles A and B, B and C, and A and C will be blank, as well as the middle area for the overlap of all three circles).

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How do I solve this syllogism question through the Venn diagram method?

Here both cases belong to the bottom left case . The statements only say that some papers are files and some files are pens . These statements have no indication of whether all papers are files, all files are pens nor does it have any indication of whether some papers are not files ,some files are not pens.Therefore you cant be sure of a but you can be sure of bso a-wrongb-correct

Draw Venn diagrams illustrating AU(BnC) and (AUB)n(AUC).?

A ∪ (B ∩ C)
http://www.wolframalpha.com/input/?i=A+u...

(A ∪ B) ∩ (A ∪ C)
http://www.wolframalpha.com/input/?i=%28...


You may notice that these two diagrams are the same.
That's because ∪ is distributive over ∩
A ∪ (B ∩ C) = (A ∪ B) ∩ (A ∪ C)

Also, ∩ is distributive over ∪
A ∩ (B ∪ C) = (A ∩ B) ∪ (A ∩ C)

Can we solve all syllogism questions by the Venn diagram method?

If you mean diagrams invented by John Venn and NOT Leonhard Euler, YES. There is a difference between Venn diagrams which have usually three overlapping circles-- none of that small circle inside a large circle stuff-- and Euler diagrams. Euler diagrams can have a small circle inside a larger circle. Many people wrongly say Venn diagrams when they really mean Euler diagrams. Indian logic in particular makes this mistake often.The Venn diagram shows all possibilities of the premises and conclusion in an argument whereas Euler diagrams do NOT explore all variables or possibilities in an argument. Euler diagrams require the user to already KNOW some information. Thus nothing new is discovered using Euler diagrams.

If we show a set percent word problem in a Venn diagram, do we put a percent sign, or not?

If we show a set percent word problem in a Venn diagram, do we put a percent sign, or not?Yes, I can’t think of any situation where the percentage sign would not be appropriate.RegardsJames KUA2018 Jan 27 Sat 0943H; Australia > Qld > Brisbane

How do you verify that [math]A \cap (B \cup C) = (A \cap B) \cup (A \cap C)[/math]?

Lets consider the following Venn Diagram to understand [math]A \cap (B \cup C) = (A \cap B) \cup (A \cap C)[/math]Let us look at how [math]A \cap (B \cup C)[/math] is calculatedNow let us look at how [math](A \cap B) \cup (A \cap C)[/math] is calculated

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