Question

Find the truth value of the statements using the given domain of discourse.

1.Suppose P(x) is the predicate x + 2 =2x and the domain is a set of {1,2,3}.

2.If P(x) is the predicate x²-3x-4=0 and the domain is a set of {1,2,3,4}.

Answer 1

1. $1+2=3 \not =2$

So it is false

$2+2=4=4$

True

$3+2=5 \not=6$

False

2.$1^2-3x1-4=-6 \not =0$

So it is false

$2^2-3x2-4=-6 \not =0$

False

$3^2-3x3-4=-4 \not=0$

False

$4^2-3x4-4=0=0$

True