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Find a number x < 77 such that x^37 = 24 mod 77. Show your work
Let Q(x) denote the statement "x + 1 = 2x". If the universe of discourse is all integers, what are these

truth values?

a) Q(0)

b) Q(-1)

c) Q(1)

d) existential quantifier xQ(x)

e) universal quantifier xQ(x)

f) ~universal quantifier xQ(x)

g) existential quantifier x~ Q(x)

Prove that the relation of anti symmetric relation on a set with K elements are 2^k×3^(k^2_ k)÷2


How many transitive relatuon are there ona set with m elements

If m=1 , m=2 and m=3

Solve the question


let A be the set of integers and C be the set of ordered pairs (x,y)£A×A such that y is not equal to zero define relation ~ on C(x,y)~(z,w) if yz=zw prove that defines an equivalence relation on C
show that if A and B are sets A u B = A n B
a. by showing each side is a subset of the other set
b. using a membership table
S.T if G is a polyhedral graph then there is a region of degree ≤ 5
Determine the height of binary tree whose largest level order index is 2 to the power 5 + 33.
In any Boolean algebra, Such that (a + b) (a’ + c) = ac +a’b = ac + a’b + bc
If f: A →B & g: B→C are two onto functions, then the mapping gof: A→C is also an
onto function. Prove
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