**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**

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**Here's the Solution to this Question**

1.

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

2.

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

3.

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

4.

$A^C=\{x ∈ R : x^ 2 \not= 2\}$

$B^C=\{x ∈ R : x<0\}$

5.

The set of natural numbers

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

$\N-B=\empty$