Purchase Solution

Various Problems in Discrete Mathematics

Not what you're looking for?

Ask Custom Question

Prove Each Directly.
1. The product of any two even integers is even.

Prove by cases, where n is an arbitrary integer and Ixl denotes the absolute
value of x.
2. [-x]=[x] (*Brackets are the x's is the absolute value symbol)

Give a counterexample to disprove each statement, where P(x) denotes an
arbitrary predicate.
3. Every month has exactly 30 days.

Let a, b, and c be any real numbers. Then a < b if and only if there
is a positive real number x such that a + x - b. Use this fact to prove
4. If a+c is less than b+c, then a is less than b

Determine if the given sets are equal.
5. {x, {y}}, {{x},y}

Let A = {a, e, f, g,i}, B = {b, d, e, g, h}, C = {d, e, f, h, i}, and U= {a,b,... ,k}.
Find each set.

6. (A U B)'

Purchase this Solution

Solution Summary

We solve six simple problems in discrete mathematics. The product of any two even integers being even is determined.

Solution Preview

1. Every even integer is divisible by two. Thus the product of two even integers is divisible by 4 and hence is divisible by 2 and is thus even.

2. If x is negative, then -x is ...

Purchase this Solution

Free BrainMass Quizzes
Exponential Expressions

In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.

Graphs and Functions

This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.

Solving quadratic inequalities

This quiz test you on how well you are familiar with solving quadratic inequalities.

Geometry - Real Life Application Problems

Understanding of how geometry applies to in real-world contexts

Probability Quiz

Some questions on probability