Question

b) M = {z 1 z is a multiple of 6, z < 42}​

Answer 1

Answer:

M={6,12,18,24,30,36}

Answer 2

SOLUTION

TO DETERMINE

M = { z : z is a multiple of 6 , z < 42 }

CONCEPT TO BE IMPLEMENTED

SET :

A set is a well defined collection of distinct objects of our perception or of our thought to be conceived as a whole

Representation of Set :

A set can be represented in following ways

(i) Statement form method

(ii) Roster or tabular form method

(iii) Rule or set builder form method

EVALUATION

Here the given set is

M = { z : z is a multiple of 6 , z < 42 }

Now the multiple of 6 less than 42 are

- 42 , - 36 , - 30 , - 24 , - 18 , - 12 , - 6 , 6 , 12 , 18 , 24 , 30 , 36 , 42

Hence

M = { - 42 , - 36 , - 30 , - 24 , - 18 , - 12 , - 6 , 6 , 12 , 18 , 24 , 30 , 36 , 42 }

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