Question

Consider the set consisting of the first $12$positive whole numbers $(1to12)$. Determine explicitly the numbers in the set satisfy each of the following conditions:

Part (a) at least $9$

Part (b) at most $10$

Part (c) between$5$and$8$inclusive.

Short answer

Part (a)$=9,10,11,12$

Part (b)$=1,2,3,4,5,6,7,8,9,10$

Part (c)$=5,6,7,8$

Step-by-step solution

Part (a) Step 1. Given information.

To discover the numbers in the collection that are at least 9 in number.

Part (a) Step 2. Numbers in the collection that are at least 9 or more are grouped together.

Set $\left(s\right)=1,2,3,4,5,6,7,8,9,10,11,12$.

Numbers in the set that are at least $9$or more are referred to as $9,10,11,12$.

Part (b) Step 1. Given information.

To find the numbers in the collection that are at most $10$in number.

Part (b) Step 2. Numbers in the set that are 10 or less are referred to as:

Set $\left(s\right)=1,2,3,4,5,6,7,8,9,10,11,12$

Numbers in the set which are at most 10 or less are:

$=1,2,3,4,5,6,7,8,9,10$

Part (c) Step 1. Given information.

Find the numbers in the collection that are between $5$ and$8$ both inclusively.

Part (c) Step 2.The following are the numbers in the set that are between 5 and 8, both inclusive:

Set $\left(s\right)=1,2,3,4,5,6,7,8,9,10,11,12$

Numbers in the set that range from 5 to 8, inclusive, are :

localid="1651070083560" $=5,6,7,8$