Determine each of the following.

(a) {x ∈ z | 0 < x, x2 ≤ 100}

(b) |{x ∈ z | 0 < x, x2 ≤ 100}|

(c) |{x ∈ z | x > 10, x2 ≤ 100}

(d) {x ∈ z | x > 10, x2 ≤ 100}|

(e) | p(a) | , where a is the set from part a.

(a)

(b) 10

(c)

(d) 0

(e) 1024

Step-by-step explanation:

(a)

A = {x ∈ Z | 0 < x, x² ≤ 100}

We need to find all the elements of given set.

The given conditions are

               ... (1)

Taking square root on both sides.

            .... (2)

Using (1) and (2) we get

Since x ∈ Z,

(b)

We need to find the value of  | {x ∈ Z | 0 < x, x² ≤ 100}| or |A|. It means have to find the number of elements in set A.

| {x ∈ Z | 0 < x, x² ≤ 100}| = 10

(c)

B = {x ∈ Z | x > 10, x² ≤ 100}

We need to find all the elements of given set.

The given conditions are

               ... (3)

It means

            .... (4)

Inequality (3) and (4) have no common solution, so B is null set or empty set.

(d)

We need to find the value of |{x ∈ Z | x > 10, x² ≤ 100}| or |B|. It means have to find the number of elements in set B.

|{x ∈ Z | x > 10, x² ≤ 100}| = 0

(e)

We need to find the value of | P(A) |. P(A) is the power set of set A.

Number of elements of a power set is

where, n is the number of elements of set A.

We know that the number of elements of set is 10. So the value of |P(A)| is

Therefore |P(A)|=1024.

idk

step-by-step explanation:

the  office resources  are the human, physical and financial  resources  which are utilized for performing all the activities in order to achieve the organizational objectives.

happy to

pls mark as brainliest