Consider the sets a={n e p: n is odd} b = {n e p: n is prime) c = {4n +3: n € p} d = {x e r : x2 - 8x + 15 = 0} which of these sets are subsets of which? consider all 16 possibilities.

,, and .

Step-by-step explanation:

The given sets are

A={n ∈ P:n is odd}

B = {n ∈ P:n is prime)

C = {4n +3:n ∈ P}

D = {x ∈ R : x² - 8x + 15 = 0}

P is the set of prime numbers and R is the set of real numbers.

So, the elements of all sets are

A = {3, 5, 7, 11, 13, 17, 19, 23, ...}

B = {2, 3, 5 , 7, 11, 13, 17, 19, 23, ...}

C = {11, 15, 23, ...}

D = {3,5}

Each sets is a subset of it self. So,

All the elements of A lie in set B, so A is a subset of B.

Since and , So, C is not the subset of A and B.

D has two elements, 3 and 5, Since and , therefore

and

34.5 cm

step-by-step explanation:

generally for a circular segment of angle, θ° and radius r

arc length

= (θ/360) x circumference

= (θ/360) x 2πr

in our case, θ = 60°, π=3.142 and r = 33 cm

substitute into above formula

arc length

= (60/360) x 2(3.142)( 33) = 34.5 cm

kaahe btau