Respuesta :

Answer is choice A, the null set

This is another way of saying "the empty set" which is the set of nothing inside it. It's a fancy mathematical way of saying "no solutions" in terms of the given restrictions placed upon us.

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Let's check every value in the replacement set. All we do is go through each number one at a time

Checking t = 1
2t - t = 0
2*1 - 1 = 0 ... replace every t with 1
2 - 1 = 0
1 = 0
The last equation is false so we can cross t=1 off the list
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Checking t = 2
2t - t = 0
2*2 - 2 = 0 ... replace every t with 2
4 - 2 = 0
2 = 0
The last equation is false so we can cross t=2 off the list
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Checking t = 3
2t - t = 0
2*3 - 3 = 0 ... replace every t with 3
6 - 3 = 0
3 = 0
The last equation is false so we can cross t=3 off the list
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Checking t = 4
2t - t = 0
2*4 - 4 = 0 ... replace every t with 4
8 - 4 = 0
4 = 0
The last equation is false so we can cross t=4 off the list
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We've crossed everything off the list. So there are no solutions indicating the solution set is the null set or empty set.

Side Note: if t = 0 were in the replacement set, then we'd have a solution. However that isn't the case here.

MrRoyal

An open sentence is a mathematical sentence that has an unknown.

The solution set for t is (a) Null set

The equation is given as:

[tex]\mathbf{2t - t = 0}[/tex]

The set is given as:

[tex]\mathbf{\{1,2,3,4\}}[/tex]

First, we solve for t in: [tex]\mathbf{2t - t = 0}[/tex]

[tex]\mathbf{t = 0}[/tex]

The above equation implies that, the value of t is 0

0 is not represented in the given set, [tex]\mathbf{\{1,2,3,4\}}[/tex]

Hence, the solution set for t is (a) Null set

Read more about open sentences at:

https://brainly.com/question/9070320

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