Quiz 1

Date: MATH 1090-4 - Fall 2003

Note: Unless stated otherwise, answers without justification receive no credit. Please, show your work!

1. Answer the following statements with True or False (No justification is required!).
   1. $3\in \{1,0,-4,7\}$.
   2. $3\in \{x:x$    is an odd number$\}$.
   3. $\ensuremath{\mathbb{Q}}$ is the set of all real numbers.
   4. $\{1,4,\pi\}\subset \{-1,1,-2,3,\pi\}$.
   5. $\{1,2,3\}\cap\{-1,-2,3,4\} = \{3\}$, where $\cap$ denotes intersection.
   6. $\{1,2,3\}\cup\{-1,-2,3,4\} = \{3\}$, where $\cup$ denotes union.

2. Insert the proper sign ($<$,$>$,$=$):
   1. $\vert-7-4\vert\quad \framebox[1cm]{?} \quad \vert-7\vert + \vert 4\vert$.
   2. $(-2)\cdot (3-5) \quad \framebox[1cm]{?} \quad (-2) \cdot 3 -5$.

3. Evaluate

   $$\frac{(-3)^2-2\cdot3+6}{4-2^2+3}$$

   
   

4. Use your calculator to find $15.3 \cdot (1.23)^{11}$.