find theumages of thefollowing sets uudcr tho mnup w e il2 ra t1 30 rc 41t38 0 f 10 points 79988

Name: find theumages of thefollowing sets uudcr tho mnup w e il2 ra t1 30 rc 41t38 0 f 10 points 79988
Uploaded: 2022-06-30T06:20:11-08:00
Duration: 6 min 1 s
Channel: Maitreya E
Description: find theumages of thefollowing sets uudcr tho mnup w e il2 ra t1 30 rc 41t38 0 f 10 points 79988

First, we need to find the set {ra T>1}. This set includes all real numbers greater than 1. So,

Find theumages of thefollowing sets uudcr tho mnup w e il2...

Transcript

00:01 Hi there in the question.

00:01 We have to find the finite and infinite sets from the following sets which are given.

00:06 The first one is set of all x is from the set of all integers and x square is less than 10.

00:12 Second one is p of set a, b, c, where p of means that the power set of the given set a b, cd.

00:19 C part is that set of all x such that exists from the set of natural numbers and 9 x square minus 1 is equal to 0.

00:27 In the d part we have set of all x is from the set of all real numbers and x square is less than 10.

00:34 So let's see how we'll do this.

00:37 Here we have in the first part, the set of all xh that x belong to z and x is square less than 10.

00:43 So this is the set of all integers whose square is less than 10.

00:48 So for example, if i'm considering the first integer to be x is equal to 0, then we have 0 square is equal to 0 which is less than.

00:58 10.

00:59 So obviously, zero belong to the given set.

01:03 Okay, zero belong to the given set.

01:05 And now i'm taking x is equal to plus or minus one, both of those.

01:08 We know that minus one square is equal to one, which is less than 10.

01:14 So obviously, one comma minus one belong to the set.

01:19 And then x is equal to plus or minus two.

01:22 We have minus two square is equal to two square is equal to four, which is less than and therefore 2 comma minus 2 belong to the set.

01:34 And then we have 3.

01:35 That is x is equal to plus or minus 3.

01:39 That is 3 squared equal to negative 3 square is equal to 9 which is less than 10.

01:46 So 3 comma minus 3 also belong to the set.

01:49 So here the given set set of all x such that x belong to z and x square less than 10 is equal to we can enumerate those elements here, that is negative 3, negative 2, negative 1 .2, 0.

02:06 So this is the set.

02:08 So this is finite set.

02:11 So this is finite set.

02:13 And also it's size.

02:16 Size is equal to 7.

02:20 So that will be the answer for the first subpart of this question.

02:24 So let's see how we'll answer the next one in this manner.

02:27 So in the next thing we have b is the power set, power set of the set a, b, c, comma, c, comma, d.

02:36 So, we know that if n of a, that is the cardinality of a set a is x or else, yes, x, then the cardinality of its power set is given as 2 power x...

Question

Find the images of the following sets under the map W: E = âˆš({r | T > 1} - 30 < {r | 41 < T < 38 < 0 < f). (10 points)

Question

Find the images of the following sets under the map W: E = âˆš({r | T > 1} - 30 < {r | 41 < T < 38 < 0 < f). (10 points)

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