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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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What is the solution for the equation -15=5(3y-10)-5y
marissa [1.9K]

Answer:

  • \Large\boxed{\sf{y=\dfrac{7}{2} }}

Step-by-step explanation:

Isolate the variable of y from one side of the equation.

-14=5(3y-10)-5y

<u>First, switch sides.</u>

\sf{5\left(3y-10\right)-5y=-15}

Use the distributive property.

<u>DISTRIBUTIVE PROPERTY:</u>

A(B-C)=AB-AC

5(3y-10)

Multiply by expand.

5*3y=15y

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15y-50-5y

15y-5=10y

= 10y-50

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Add by 50 from both sides.

10y-50+50=-15+50

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10y=35

Then, you divide by 10 from both sides.

10y/10=35/10

Solve.

Divide the numbers from left to right.

35/10=7/2

y=7/2

Divide is another option.

7/2=3.5

\Longrightarrow: \boxed{\sf{y=\dfrac{7}{2}}}

  • <u>Therefore, the correct answer is y=7/2.</u>

I hope this helps. Let me know if you have any questions.

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Need help , don’t understand !!
mixer [17]

Quadratic Formula is (-b ±√(b²-4ac))/2a

With that being said:

y=2x²-5x-1 is in the correct form of ax²+bx+c

Now just plug in:

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100% Sure


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