List all element of the following sets
a. { 1/n ∣ n ∈ { 3 , 4 , 5 , 6 } }
b. {x∈z ∣ x=x+1}
c. {n∈p ∣ n is a factor of 24 }

a) The elements are

b) The elements are (-∞ ...-1,0,1,2,..∞).

c) The elements are 2 and 3.

Step-by-step explanation:

To find : List all element of the following sets ?

Solution :

a)

Here, The function is

Where,

Substituting the values to get elements,

The elements are

b)

Here, The function is

Where, i.e. integers (..,-2,-1,0,1,2,..)

For x=-2

For x=-1

For x=0

For x=1

For x=2

The elements are (-∞ ...-1,0,1,2,..∞).

c)

Here, The function is n is a factor of 24.

Where, n is a prime number

Factors of 24 are 1,2,3,4,6,8,12,24.

The prime factor are 2,3.

The elements are 2 and 3.

b. 2

step-by-step explanation:

the slope of a line =δy/δx

δy= y₂-y₁

δx= x₂-x₁

therefore, using the points (-2,-3)   and (3,7) we can calculate gradient as follows:

m=(7--3)/(3--2) (a number minus a negative number the sign changes to a plus)

m=(7+10)/(3+2)

=10/5

=2

answer: the answer is e

step-by-step explanation: