Make fractions out of the following information, reduce, if possible, 1 foot is divided into 12 inches. Make a fraction of the distance from 0 to a-d 0 to a. = ___ 0 to b. = ___ 0 to c. = ___ 0 to d. = ___

Suppose that A is the set of sophomores at your school and B is the set of students in discrete mathematics at your school. Express each of these sets in terms of A and B.
a) the set of sophomores taking discrete mathematics in your school
b) the set of sophomores at your school who are not taking discrete mathematics
c) the set of students at your school who either are sophomores or are taking discrete mathematics
Use these symbols: ${\displaystyle \cap \cup }$

Let A, B, and C be sets. Show that ${\displaystyle (A-B)-C=(A-C)-(B-C)}$

Use proof by Contradiction to prove that the sum of an irrational number and a rational number is irrational.

Discrete Mathematics Basics
1) Determine whether the relation R on the set of all Web pages is reflexive, symmetric, antisymmetric, and/or transitive, where ${\displaystyle (a,b)\in R}$ if and only if
I) everyone who has visited Web page a has also visited Web page b.
II) there are no common links found on both Web page a and Web page b.
III) there is at least one common link on Web page a and Web page b.

Discrete math.
Prove the following fact by induction:
For every non-negative integer n, 2 evenly divides ${\displaystyle n^2-7n+4}$.

The number of terms in ${\displaystyle {(x+y+z)}^{30}}$ is 496.
How many terms would there be if the same terms were combined? How can we find out?

Prove: Any postage of 24 or more can be constructed using 5 and 7 cent stamps.
Use K and ${\displaystyle K+1}$ for the induction hypothesis.