Question

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,

Answer 1

A set is simply the group of numbers.

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

(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:

$M = \{1,4,9,16,25,36,49,64,81\}$

$N= \{1,3,5,7,9,11,13\}$

(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:

$M\ n\ N = \{1,9\}$

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

So, we have:

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

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