a. Every set has an element. b. The smallest perfect number is 28. c. Is 1.5 an irrational number? d. Please find the popular ap
1 answer:
Answer:
a) False. b) False. c) No, it's Rational. d) pi=355/113 e) 5i (for Complex Set of Numbers)
Step-by-step explanation:
a) Since there is the empty set. And an axiom assures us the existence of this Set. "There is a set such no element belongs to it"
∅ has no elements.
b) A perfect number is a positive integer equals to the sum of proper divisions
The smallest is 6. Since the proper divisors of 6={3,2,1}. 6=1+2+3
28 is a perfect number, but not the smallest. It is perfect since
28 proper divisors={14,7,4,2} 28=1+2+3+4+5+6+7
c) No, An Irrational number cannot be written as a fraction a/b where "a" and "b" are integers. 1.5 is a rational one, since 3/2 =1.5
d)
=22/7 -1/791= 355/113
e) Not for Real Numbers, since it is not defined for Real numbers. But for the set of Complex 5i
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Given:
Number of passengers seated in the roller coaster = 21
Empty seats = 3
Number of cars in roller coaster = 4 (each with the same number of seats)
To find:
An equation that can be used to determine the number of seats in each car.
Solution:
Let s be the number of seats in each car.
Total number of seats in 4 cars = 4s
Using the given information,
Total number of seats = Occupied seated + Empty seats
= 21 + 3
= 24
Now, the required equation is
Therefore, the required equation is .
Divide both sides by 4.
Therefore, the number of seats in each car is 6.