Question

How to read the following plzz explain this.I will mark ur answer as brainlist answer.Give fast....​

Answer 1

Answer:

Let A belongs to x, where x is greater than 9 and less than 10, x is a natural number.

please mark as brainliest

Answer 2

let a belongs to x , x is greater than 9 less than 10 x is a natural number Step-by-step explanation:

x : x > 0} the set of all x such that x is greater than 0. any value greater than 0

2 {x : x ≠ 11} the set of all x such that x is any number except 11. any value except 11

3 {x : x < 5} the set of all x such that x is any number less than 5. any value less than 5

Each of these sets is read aloud exactly the same way when the colon : is replaced by a vertical line | as in {x | x > 0}. Both the colon and the vertical line represent the words "such that". Let's look at these examples again.

Example 4 Read Meaning

{ Kis_an_element_of_1.gifz_small.gif | k > 5 } the set of all k in z_small.gif, such that k is any number greater than 5 all integers greater than 5

Note that we could also write this set as {6, 7, 8, ...}. Therefore, we can say that { Kis_an_element_of_1.gifz_small.gif | k > 5 } = {6, 7, 8, ...}, and that these sets are equal. Set-Builder Notation is also useful when working with an interval of numbers, as shown in the examples below.

Example Set-Builder Notation Read Also Written As

5 { qis_an_element_of_1.gifz_small.gif | 2 < q < 6 } the set of all q in z_small.gif, such that q is any number between 2 and 6 {3, 4, 5}

6 { pis_an_element_of_1.gifz_small.gif | 2 ≤ p ≤ 6 } the set of all p in z_small.gif such that p is any number between 2 and 6, inclusive. {2, 3, 4, 5, 6}

7 { nis_an_element_of_1.gifz_small.gif | 2 ≤ n < 6 } the set of all n in z_small.gif such that n is any number greater than or equal to 2 and less than 6. {2, 3, 4, 5}

Why use set-builder notation?

You may be wondering about the need for such complex notation. If you have the set of all integers between 2 and 6, inclusive, you could simply use roster notation to write {2, 3, 4, 5, 6}, which is probably easier than using set-builder notation:

{ qis_an_element_of_1.gifz_small.gif : 2 ≤ q ≤ 6 }

But how would you list the Real Numbers in the same interval? Using roster notation doesn't make much sense in this case:

{2, 2.1, 2.01, 2.001, 2.0001, ... ??? }

{ xis_an_element_of_1.gifr_small.gif : x ≥ 2 and x ≤ 6 }

You can also use set builder notation to express other sets, such as this algebraic one:

{ xis_an_element_of_1.gifr_small.gif : x = x2 }

When you evaluate this equation algebraically, you get:

Step Evaluate Explanation

1 x = x2 Original equation

2 x2 - x = 0 Subtract x from both sides

3 x(x-1) = 0 Solve for x to find the roots of this equation

4 x =0 or x - 1 = 0 If the product of two factors is zero, then each factor can be set equal to zero.

5 x - 1 = 0 For the second factor, add 1 to both sides

5 x = 0 or x = 1 Solution {0, 1}

Thus { xis_an_element_of_1.gifr_small.gif : x = x2 } = {0, 1}

1. Which of the following sets is equal to the given set below?

{ qis_an_element_of_transparent_1.gifz_small.gif | -4 ≤ q < 3 }

{ -4, -3, -2, -1, 0, +1, +2, +3}

{-3, -2, -1, 0, 1, 2, 3}

{-4, -3, -2, -1, 0, +1, +2}

None of the above.

RESULTS BOX:

2. Which of the following accurately explains the meaning of the given set below?

{ xis_an_element_of_transparent_1.gifr_small.gif : x ≥ 4 }

The set of all x in r_small.gif such that x is any number greater than 4

The set of all x in r_small.gif such that x is any number greater than or equal to 4

The set of all x in r_small.gif such that x is any number greater than or equal to 4.1

None of the above.

RESULTS BOX:

3. Which of the following represents the given set below?

{ nis_an_element_of_transparent_1.gifz_small.gif | n < 2 }