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GenaCL600 [577]
2 years ago
9

Consider U = {x|x is a positive integer greater than 1}.

Mathematics
2 answers:
iris [78.8K]2 years ago
5 0
2x will be an even number, which means it's immediately divisible by 2. Therefore it cannot be prime, so the second set is empty.
Irina18 [472]2 years ago
4 0
<h3><u>Answer:</u></h3>

Hence, the set that is empty is:

{x|x ∈ U and 2x is prime}

<h3><u>Step-by-step explanation:</u></h3>

We are given:

U = {x|x is a positive integer greater than 1}

i.e. U={2,3,4,5,6,7,.....}

The empty set among the following is:

{x|x ∈ U and 2x is prime}

As x ∈ U.

This means that x has to be an positive integer which is greater than 1.

and 2x will be an even integer i.e. {4,6,8,.....}.

Hence,

the term 2x can't be a prime as each of the number has more than 2 factors other than 1 and number itself.

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Answer:

a) x = -1.5

b) x = 1

Step-by-step explanation:

For problem a, you can start by subtracting 3x from both sides to gather all the like terms together:

7x + 5 = 3x - 1

-3x         -3x

4x + 5 = -1

Next, to get the coefficients on one side, you subtract 5 from both sides:

4x + 5 =  -1

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4x = -6

Now, you divide by 4 on both sides to isolate x:

x = -6/4 = -1.5 --- > x = -1.5

For problem b, you start by subtracting 3x from both sides(kinda like problem a):

5x + 12 = 3x + 14

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2x + 12 = 14

Next, you can subtract 12 from both sides, isolating the "x term".

2x + 12 = 14

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2 years ago
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Answer:

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Step-by-step explanation:

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