Answer:
a) Q(-2,1) is false
b) Q(-5,2) is false
c)Q(3,8) is true
d)Q(9,10) is true
Step-by-step explanation:
Given data is
is predicate that
then
. where
are rational numbers.
a)
when 
Here
that is
satisfied. Then

this is wrong. since 
That is 
Thus
is false.
b)
Assume
.
That is 
Here
that is
this condition is satisfied.
Then

this is not true. since
.
This is similar to the truth value of part (a).
Since in both
satisfied and
for both the points.
c)
if
that is
and
Here
this satisfies the condition
.
Then 
This also satisfies the condition
.
Hence
exists and it is true.
d)
Assume 
Here
satisfies the condition 
Then 
satisfies the condition
.
Thus,
point exists and it is true. This satisfies the same values as in part (c)
Answer:
The interest on the savings account is $46.47
Step-by-step explanation:
Here, we want to know the interest earned on the savings account.
The difference between the new and previous balance will be; 12,098.12 - 9,053.20 = $3,044.92
The difference between amount deposited and amount withdrawn is 3,298.45 - 300 = 2,998.45
This is the amount that is supposed to be on the account without interest
So the interest earned would be; 3044.92 - 2,998.45 = $46.47
The inclusion/exclusion principle states that

That is, the union has as many members as the sum of the number of members of the individual sets, minus the number of elements contained in both sets (to avoid double-counting).
Therefore,

will have the most elements when the sets

and

are disjoint, i.e.

, which would mean the most we can can in this case would be

(Note that

denotes the cardinality of the set

.)
If we draw a diagonal which will also be a transversal DB, then we get ∠ADB is congruent to ∠CBD by Alternate interior angles.
It will be the first option.
4/5 acres of the land were sold.
40* 1/2 = 20
20* 3/5 = 12
12+20= 32
32/40 = 4/5 simplified