Discrete Mathematics Answers

Use rules of inference to show that the hypothesis "All lions are fierce","Some Lions do not drink coffee" imply the conclusion "Some fierce creatures do not drink coffee".

prove a --> ( b V c ) using contradiction method and combination of inference rules and equivalence laws from these premises : 1. a --> ( d V b ) 2. d --> c

Construct the call graph for a set of seven telephone numbers 555-0011, 555-1221,

555-1333, 555-8888, 555-2222, 555-0091, and 555-1200 if there were three calls from 555-0011 to

555-8888 and two calls from 555-8888 to 555-0011, two calls from 555-2222 to 555-0091, two calls

from 555-1221 to each of the other numbers, and one call from 555-1333 to each of 555-0011, 555-

1221, and 555-1200.

What is the image (range) of the function that assigns the square of an integer to this integer

For all integers a, b and c, if 𝑎|𝑏 and 𝑏|𝑐, then prove that 𝑎𝑏 2 |𝑐 3 .

is 6x+1 < (2x+4) + (4x-2) proposition?

Construct a relation on the set {a, b, c, d} that is

a. reflexive, symmetric, but not transitive.

b. irreflexive, symmetric, and transitive.

c. irreflexive, antisymmetric, and not transitive.

d. reflexive, neither symmetric nor antisymmetric, and transitive.

which of the following statements are true? justify your answers i) the contrapositive of "not a ⇒ not b' is "a&b', where a and b are two statements. ii) any set can be represented by the listing method

Find the domain and range of this functions

a) The function that assigns to each pair of positive integer the maximum of these two integers

b) The function that assigns to each positive integer the number of the digits 0,1,2,3,4,5,6,7,8,9 that do not appear as decimal digits of the integer.

Construct a relation on the set {a, b, c, d} that is a. reflexive, symmetric, but not transitive