Answer to Question #180884 in Discrete Mathematics for Angelie Suarez

Question

B. Write each statement into its symbolic form.(3 pts each)

Let

x: PJ is a mathematician

y: MJ is a programmer

a. PJ is not a mathematician.

b. PJ is a mathematician while MJ is a programmer.

c. If PJ is a mathematician then MJ is not a programmer.

d. PJ is a mathematician or if PJ is a mathematician then MJ is a

programmer.

e. Either PJ is a mathematician and MJ is a programmer, or neither PJ is

a mathematician nor MJ is a programmer. 

C. Show whether or not p → q ≡ (p ^ q) v (𝒑

̅ ^ 𝒒̅) (10 pts)

D. Let P(x) denote the statement 𝟏

𝒙

𝟐+𝟏

> 1. If its domain are all real numbers,

what is the truth value of the following quantified statement? (5 pts each)

1. ∃xP(x)

2. ∀xP(x)

Answer 1

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