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.

$8

step-by-step explanation:

it is pretty much backwards.

you take the 4x2 multiply that, and that is = $8

find the magnitude of the trig term  

csc

(

x

)

−

1

by taking the absolute value of the coefficient.

1

find the lower bound of the range.

tap for more

y

=

−

2

find the upper bound of the range.

tap for more

y

=

0

the range is  

y

≤

−

2

or  

y

≥

0

.

(

−

∞

,

−

2

]

∪

[

0

,

∞

)

{

y

|

y

≤

−

2

,

y

≥

0

}

step-by-step explanation: