Mathematics Quiz

Fill in the blanks to rewrite the following statement: Every real number has an additive inverse. (a) All real numbers ________. (b) For any real number x, there is ________ for x. (c) For all real numbers z, there is real number y such that ________.

Answer explanation

a) have an additive inverse

b) an additive inverse

y is an additive inverse for x

(a) Write in words how to read the following out loud: {n ∈ ℤ | n is a factor of 24}

Answer explanation

n is the set of integers that have a factor of 24

(b) Use the set-roster notation to indicate the elements in the set {n ∈ ℤ | n is a factor of 24}

Let A = {1,2,3,4} and B = {a,b,c}. Define a function G: A → B as follows: G = {(1,b), (2,c), (3,b), (4,c)}. (a) Find G(2). (b) Draw an arrow diagram for G.

Let A = {1,2,3,4} and B = {a,b,c}. Define a function

G: A → B as follows: G = {(1,b), (2,c), (3,b), (4,c)}.

(b) Draw an arrow diagram for G.

Let A = {3,5,7} and B = {15,16,17,18}, and define a relation R from A to B as follows: For all (x,y) ∈ A × B, (x,y) ∈ R ↔ y/x is an integer.

(a) Is 3 R 15? Is 3 R 16? Is (7,17) ∈ R? Is (3,18) ∈ R? explain.

Given this circuit: Find output of circuit if inputs: P = 1, Q = 0 and R = 1

Write boolean expression for the given circuit below:

Write equivalent in decimal of the binary number 101011?

Write result for 101112 + 10112 = _______.