Question
Show, as in Examples 1.1.2 and 1.1.3, that $A=B$.$A=\{1,2,3\}, B=\left\{n \mid n \in \mathbf{Z}^{+}\right.$ and $\left.n^{2}<10\right\}$
Step 1
Set A is simply the set of numbers {1,2,3}. Set B is a bit more complex. It is the set of all positive integers n such that the square of n is less than 10. Show more…
Show all steps
Your feedback will help us improve your experience
Manisha Sarker and 70 other Calculus 2 / BC educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Show, as in Example 1.1.4, that $A \neq B$. $A=\{1,3,5\}, B=\left\{n \mid n \in \mathbf{Z}^{+}\right.$ and $\left.n^{2}-1 \leq n\right\}$
Sets and Logic
Sets
Show, as in Examples 1.1 .5 and $1.1 .6,$ that $A \subseteq B$. $A=\left\{2 n \mid n \in \mathbf{Z}^{+}\right\}, B=\left\{n \mid n \in \mathbf{Z}^{+}\right\}$
Show, as in Examples 1.1.2 and 1.1.3, that $A=B$. $$A=\{3,2,1\}, B=\{1,2,3\}$$
Transcript
Watch the video solution with this free unlock.
EMAIL
PASSWORD