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If M is the set of all square of integers that are less than 100 and N is the set of all positive odd numbers that are under 15,
a) Write the lists of all elements of M and N
b) Find M∩N and M∪N

Answer :

MRROYALGO

A set is simply the group of numbers.

  • The set of M and N are: [tex]M = \{1,4,9,16,25,36,49,64,81\}[/tex]  and [tex]N= \{1,3,5,7,9,11,13\}[/tex].
  • The set of M n N is: [tex]M\ n\ N = \{1,9\}[/tex].
  • The set of  M u N is: [tex]M\ u\ N = \{1,3,4,5,7,9,11,13,16,25,36,49,64,81\}[/tex]

(a) The set of M and N

Given that:

M = squares of integers less than 100

N = Positive odd numbers less than 15

So, we have:

[tex]M = \{1,4,9,16,25,36,49,64,81\}[/tex]

[tex]N= \{1,3,5,7,9,11,13\}[/tex]

(b) M n N and M u N

M n N is the set of common elements between sets M and N.

So, we have:

[tex]M\ n\ N = \{1,9\}[/tex]

M u N is the set of all elements in sets M and N.

So, we have:

[tex]M\ u\ N = \{1,3,4,5,7,9,11,13,16,25,36,49,64,81\}[/tex]

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