For the first five questions, you can answer

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

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: ${\displaystyle \cap \cup }$

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

How many elements are in the set { 0, { { 0 } }?

Discrete Math
Evaluate.
a) ${\displaystyle 55\text{mod}7}$ b) ${\displaystyle -101÷3}$.

Discrete Math
Use a truth table to determine if the given argument form is valid.
${\displaystyle p\to q}$
${\displaystyle r\to p}$
${\displaystyle q\vee r}$
${\displaystyle \therefore q}$

Consider the following pseudocode function. function Crunch${\displaystyle (xis\in R)\text{if}x\ge 100}$ then return x/100 else return $x+Crunch(10\cdot x)$ Compute Crunch(117).