How many sets of three integers between 1 and 20 are possible if no two consecutive integers are to be in a set?
1 answer:
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ANSWER TO QUESTION 1
The set of natural numbers that are factors of 20 are natural numbers that divides 20 exactly without a remainder.
These natural numbers are;
{
}
Therefore the correct answer is D
ANSWER TO QUESTION 2
Given that the universal set U has elements
{
}
and the set P also has elements
{
}
The elements of P' are the elements that are in the universal set but are not in set P.
These elements are;
{
}
The correct answer is C
ANSWER TO QUESTION 3
The distance is given by the absolute value equation
If the is 15 feet away then
This implies that;
We now split the absolute value sign to obtain,
or
We now solve for t to obtain;
or
or
This gives us
or
The correct answer is C
ANSWER TO QUESTION 4
Given
P={
}
and
V={
}
P
V={2,4,6,8}
P\V are elements in P only .
This means that we have to take out the elements of the intersection of the two sets from P.
P\V ={0,1,3,5,5,7,9}
The correct answer is B
ANSWER TO QUESTION 5
The correct answer is B.
In listing the elements of a set, we do not repeat the element. In order words we list only distinct elements.
Blueberry is repeating in both sets but we have to list it once.
ANSWER TO QUESTION 6.
The correct answer is 220
We were told that 250 play basket ball
If 120 play both sports, then
250-120=130
play only basketball
Now the number of people who play only baseball
But the number of people who play baseball
see diagram
The set of natural numbers that are factors of 20 are natural numbers that divides 20 exactly without a remainder.
These natural numbers are;
{
Therefore the correct answer is D
ANSWER TO QUESTION 2
Given that the universal set U has elements
{
and the set P also has elements
{
The elements of P' are the elements that are in the universal set but are not in set P.
These elements are;
{
The correct answer is C
ANSWER TO QUESTION 3
The distance is given by the absolute value equation
If the is 15 feet away then
This implies that;
We now split the absolute value sign to obtain,
or
We now solve for t to obtain;
or
or
This gives us
or
The correct answer is C
ANSWER TO QUESTION 4
Given
P={
and
V={
P
P\V are elements in P only .
This means that we have to take out the elements of the intersection of the two sets from P.
P\V ={0,1,3,5,5,7,9}
The correct answer is B
ANSWER TO QUESTION 5
The correct answer is B.
In listing the elements of a set, we do not repeat the element. In order words we list only distinct elements.
Blueberry is repeating in both sets but we have to list it once.
ANSWER TO QUESTION 6.
The correct answer is 220
We were told that 250 play basket ball
If 120 play both sports, then
250-120=130
play only basketball
Now the number of people who play only baseball
But the number of people who play baseball
see diagram