#### Quantitative Reasoning

Required Material: After relieving at least a little bit of math anxiety, start digging into some material on sets and counting below:

See this PowerPoint slide presentation on sets and counting.

The following is an excellent overview of sets and counting from the Stanford University:

Bagaria, J. (2014). Stanford encyclopedia of philosophy: Set theory. Retrieved from http://plato.stanford.edu/entries/set-theory/

Now take a look at online math learning another great site on sets by clicking on these Tutorial on Sets:

onlinemathlearning.com, (2008). Math: Sets & Set Theory. Retrieved November 13, 2010* from http://www.onlinemathlearning.com/math-sets.html

1. Let U = {q, r, s, t, u, v, w, x, y, z}

A = {q, s, u, w, x, y}

B = {q, s, y, z}

C = {v, w, x, y, z}.

Determine A ∪ (B ∩ C)

2. Let U = {q, r, s, t, u, v, w, x, y, z}

A = {q, s, u, w, y}

B = {q, s, t, y, z}

C = {v, w, x, y, z}

Determine A ∩ (B ∪ C)

3. Construct a Venn diagram illustrating the following sets.

3) U = {2, 4, 6, 8, 10, 12}

A = {2, 6, 10}

B = {2, 4, 8}

C = {2, 8, 10, 12}

4. Find n(A) for the set A = { 3, 5, 7, 9, 11, 13}

5. Find n(A) for the set A = {x | x is a second in a minute}

Assignment Expectations

Clearly define sets and set operations.

Select appropriate set elements and distinquish between sets, subsets, and proper subsets.