Mathematics: Is it true or false that 1.8×3×2.1=33 or 1.8×2.1

Is it true or false that 1.8×3×2.1=33 or 1.8×2.1

dnjames01

13.07.2021

The number of parallelograms that fall into the category A ∪ B is 26.

Step-by-step explanation: The given diagram shows the universal set U defined by

U = {parallelograms}.

Set A represents parallelograms with congruent sides and set B represents parallelograms with four congruent angles.

We are to find the number of parallelograms that fall into the category A ∪ B.

From the diagram, we find that

$n(A)=12+8=20,\\\\n(B)=6+8=14,\\\\n(A\cap B)=8,\\\\n(A\cup B)=?$

From set theory, we have

$n(A\cup B)=n(A)+n(B)-n(A\cap B)=20+14-8=26.$

Thus, the number of parallelograms that fall into the category A ∪ B is 26.

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