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?