# If A ⊆ B where A = { 1 , 2 , 5 , 7 } and B = { x : x and is a positive integer, x ≤ 8 } . ### Mathematical Applications for the ...

12th Edition
Ronald J. Harshbarger + 1 other
Publisher: Cengage Learning
ISBN: 9781337625340 ### Mathematical Applications for the ...

12th Edition
Ronald J. Harshbarger + 1 other
Publisher: Cengage Learning
ISBN: 9781337625340

#### Solutions

Chapter 0, Problem 1RE
To determine

## If A⊆Bwhere A={ 1, 2, 5, 7 } and B={ x:x and is a positive integer, x≤8 }.

Expert Solution

Solution:

### Explanation of Solution

Given Information:

The given sets are A={ 1,2,5,7 }

and B={ x:xand is a positive integer,x8 }.

Explanation:

Let us convert the set B in another form.

B={ 1,2,3,4,5,6,7,8 }

We see that every element of A is an element of B.

So, { 1,2,5,7 }{ 1,2,3,4,5,6,7,8 }

Therefore, AB.

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