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Andrei [34K]
3 years ago
12

For each of these relations on the set {21, 22, 23, 24}, decide whether it is reflexive, whether it is symmetric, whether it is

antisymmetric, and whether it is transitive.
i. {(22, 22),(22, 23),(22, 24),(23, 22),(23, 23),(23, 24)}
ii. {(21, 21),(21, 22),(22, 21),(22, 22),(23, 23),(24, 24)}
Mathematics
2 answers:
bonufazy [111]3 years ago
7 0

Answer:

Step-by-step explanation:

I. { (22,22) , (22,23) , (22,24) , (23,22) , (23,23) , (23,24) }

Reflexive : True because we see the pairs (22,22) , (23,23)..

Symmetrix : NO, as we see the pairs (22,24) BUT NOT (24,22)

Transitive : YES, As we see (22,22 ) and (22, 24) , we see the pairs (22,24)

Antisymmetric : NO

II){ (21,21) , (21,22) , (22,21) , (22,22) , (23,23) , (24,24) }

Reflexive : True because we see the pairs (22,22) , (23,23) (21,21)

Symmetrix : Yes, as we see the pairs (21,22) AND (22,21)

Transitive : YES,

Antisymmetric : NO

guapka [62]3 years ago
3 0

Answer:

Step-by-step explanation:

I. { (22,22) , (22,23) , (22,24) , (23,22) , (23,23) , (23,24) }

Reflexive : True because we see the pairs (22,22) , (23,23)..

Symmetrix : NO, as we see the pairs (22,24) BUT NOT (24,22)

Transitive : YES, As we see (22,22 ) and (22, 24) , we see the pairs (22,24)

Antisymmetric : NO

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$208.33

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There are 560 students at Smith Middle School, 45% of them are in athletics. How many students are in athletics?
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Answer:

252

Step-by-step explanation:

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2 years ago
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Which value of x does not satisfy the equation sin^2x + sin x = 0
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Answer:

x \neq 0 \pm \pi \cdot i, \forall i \in \mathbb{N}_{O} and x \neq \frac{3\pi}{2}\pm 2\pi \cdot j, \forall j \in \mathbb{N}_{O}.

Step-by-step explanation:

The equation can be simplified with the help of trigonometric identities:

\sin x \cdot (\sin x + 1) = 0

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Any value different of both subsets do not satisfy the equation described above.

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3 years ago
Your company spends 15%of their budget on rent each year. Their operating budget was 45,000 how much was spent
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Hope this helps
5 0
3 years ago
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Need help with these two questions linear relations.
wel

Answer:

b. y = -7x + 4

   1.    y = -7(-5)+ 4 = 35+4= 39

   2. -24= -7x + 4

    -28 = -7x

       4 = x

    3. y = -7(0)+4= 4

    4. 0 = -7x+4

        -4= -7x

         4/7 = x

c. 3y - 5x = 15

 1. 3y - 5(6)

    3y-30=15

    3y=45

      y = 15

   2. 3(-10)-5x=15

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    3. 3y-5(0)=15

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    4. 3(0)-5x=15

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Step-by-step explanation:

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