For p = {3, 5, 10, 15}, q = {1,6, 13}, and r = {4, 6, 10, 13}, find p u (q∩r).

 P U (Q∩R)={3, 5, 6, 10, 13, 15}

Step-by-step explanation:

The first step that we have to do is find  (Q∩R) then, we ned to find the elements in common between Q and R, as we can see we have the element 6 and the element 13, then:

(Q∩R)={6, 13}

Now we just need to do the union between  P and  (Q∩R), that is just put all the elements of P and  (Q∩R) in one set, then:

P U (Q∩R)={3, 5, 6, 10, 13, 15}

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: