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
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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 ,
The truth value is true since for every real number