Sets Classwork-Exercise 1.1 Set-Looking back

What is the cardinality of set A∩B?

2

What is the cardinality of set A∪B?

6

What is the cardinality of set X∪Y∪Z?

7

What is the cardinality of set X-(Y∩Z)?

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What is the value of n(A∪B) if A⊂B?

n(A∪B)=n(B) Signup and view all the answers

What is the cardinality of A∩B when A and B are disjoint sets?

n(A∩B)=0 Signup and view all the answers

If U={1,2,3,4,5,6,7,8,9,10}, A={1,2,4,8}, and B={5,10}, what is the cardinality of U−(A∪B)?

3 Signup and view all the answers

In the context of overlapping sets A and B, what is the value of n(A∪B) if n(A)=5 and n(B)=4?

7 Signup and view all the answers

What is the cardinality of only A (A-B) if n(A)=5 and n(A∩B)=2?

3 Signup and view all the answers

Why did the earth-centred model of the solar system fail?

It failed when Nicholas Copernicus proposed the heliocentric theory. Signup and view all the answers

Why do bodies fall towards the surface of the earth according to the text?

Due to Newton's universal law of gravitation. Signup and view all the answers

What change did Nicholas Copernicus bring about in the understanding of the solar system?

He shifted the understanding from a geocentric to a heliocentric model. Signup and view all the answers

What was the significant contribution of Nicholas Copernicus to astronomy?

He proposed the heliocentric theory of the solar system. Signup and view all the answers

What was the prevailing belief about the solar system before Nicholas Copernicus proposed his theory?

The belief was that planets revolve uniformly around the earth. Signup and view all the answers

What did Galileo observe about the satellites of Jupiter?

They revolve around Jupiter Signup and view all the answers

What did Newton name the force of attraction between any two bodies in the universe?

Gravitational force Signup and view all the answers

Why is Newton's law of gravitation called universal law?

It holds true for all bodies placed everywhere in the universe Signup and view all the answers

What is responsible for the tides in seas and oceans according to the text?

Gravitation of the sun and the moon on the earth Signup and view all the answers

What is the effect of a body with small mass on a body with big one according to the text?

It causes no observable effect Signup and view all the answers