Let A = {x ∈ R : x 2 = 2} and B = {x ∈ R : x ≥ 0}. 1. Find A ∩ B. 2. Find A ∪ B. 3. Find A − B. 4. For U = R, find Ac and Bc . 5. Find N − B.

The Answer to the Question
is below this banner.

Can't find a solution anywhere?

NEED A FAST ANSWER TO ANY QUESTION OR ASSIGNMENT?

You will get a detailed answer to your question or assignment in the shortest time possible.

Here's the Solution to this Question

$A\cap B=\{\sqrt{2}\}$

$A\cup B=\{x ∈ R : x ≥ 0\ or\ x=-\sqrt{2}\}$

$A- B=\{-\sqrt{2}\}$

$A^C=\{x ∈ R : x^ 2 \not= 2\}$

$B^C=\{x ∈ R : x<0\}$

The set of natural numbers

$\N = \{0, 1, 2, 3, . . .\}$

$\N-B=\empty$