Answer to Question #180874 in Discrete Mathematics for Angelie Suarez

Question

II.

PREDICATE LOGIC.(25 pts)

A. Let P(x) be the statement x 2 > x4. If the domain consists of the integers,

what are the truth values?

1. P(0)

2. P(-1)

3. P(1)

4. P(2)

5. ∃xP(x)

6. ∀xP(x)

B. Write the following predicates symbolically and determine its truth value.

Note: Use at least three (3) values for the variables. (5 pts each)

1. for every real number x, if x>1 then x – 1 > 1

2. for some real number x, x2 ≤ 0

Answer 1

A. The truth vakues are-

1. P(0)-T

2. P(-1) -T

3. P(1) -F

4. P(2) -F

5. ∃xP(x)-F

6. ∀xP(x)-T

B. 1.for x>1 then x-1>1

The truth value for above statement is false.

2.for real number x , $x^2\ge 0$

The truth value is true since for every real number $x^2\ge0$