calculus that contain double quantifiers and explain whether it is a true
statement .
a . Every rational number is the reciprocal of some other rational number .
P ( x ) ∙ N ( x )= 1 ( ∀ P ( x ) ϵ θ ) ( ∃ N ( x ) ϵ θ ) ¿ statement is true Reciprocal is inversion of rational number . Dividing would equal 1 . b . Some real number is bigger than all negative integers . x is real numbers ( ∃ x ∈ R ) , x & gt ; y y is negative integers statement is true . x = 2 and y = -4 2 & gt ; 4
10 . ( 10 pts ) Consider the following graph : In each case , answer the question and then write the rationale for your answer .
a . Is this graph connected ? Yes , no corners are separated from the rest of the graph
b . Is this a simple graph ? Yes , there are no multi edges . There are no loops nor parallel edges . c . Does this graph contain any cycles ?