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zhenek [66]
3 years ago
14

The solution set of the equation |x - 1| = 3 is _____ {-2, 4} {-3, 3} {-4, 2}

Mathematics
2 answers:
Gennadij [26K]3 years ago
8 0

Answer:

{-2, 4}

Step-by-step explanation:

|x - 1| = 3

There are two cases, one positive and one negative

x - 1 = 3  and  x-1 = -3

Add 1 to each side

x-1+1 = 3+1    x-1+1 = -3+1

x =4                 x = -2

raketka [301]3 years ago
7 0

Answer:  The correct option is

(A) {-2, 7}.

Step-by-step explanation:  We are given to find the solution set of the following :

|x-1|=3~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)

We will be using the following property of modulus :

|y|=b~~\Rightarrow y=b~or~y=-b.

So, from (i), we get

|x-1|=3\\\\\Rightarrow x-1=3~~or~~x-1=-3\\\\\Rightarrow x=3+1~~~~\Rightarrow x=-3+1\\\\\Rightarrow x=4,-2.

Thus, the required solution set is {-2, 4}.

Option (A) is CORRECT.

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Answer:

24

Step-by-step explanation:

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4x6=24

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In Problems 1-8, determine the level of measurement of each variable.
lbvjy [14]

The level of measurement of each given variable are:

1. Ordinal

2. Nominal

3. Ratio

4. Interval

5. Ordinal

6. Nominal

7. Ratio

8. Interval

Level of measurement is used in assigning measurement to variables depending on their attributes.

There are basically four (4) levels of measurement (see image in the attachment):

1. <u>Nominal:</u> Here, values are assigned to variables just for naming and identification sake. It is also used for categorization.

  • Examples of variables that fall under the measurement are: Favorite movie, Eye Color.

<u>2. Ordinal:</u> This level of measurement show difference between variables and the direction of the difference. In order words, it shows magnitude or rank among variables.

  • Examples of such variables that fall under this are: highest degree conferred, birth order among siblings in a family.

<u>3. Interval Scale:</u> this third level of measurement shows magnitude, a known equal difference between variables can be ascertain. However, this type of measurement has <em>no true zero</em> point.

  • Examples of the variables that fall here include: Monthly temperatures, year of birth of college students

4. Ratio Scale: This scale of measurement has a "true zero". It also has every property of the interval scale.

  • Examples are: ages of children, volume of water used.

Therefore, the level of measurement of each given variable are:

1. Ordinal

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Learn more about level of measurement here:

brainly.com/question/20816026

3 0
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Im in no rush just need help
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Answer:

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2. Right: pointing upwards

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3. Right: pointing downwards

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4a. True

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When the leading coefficient is negative the equation will either open downwards or the y-values will decrease as the x-values increase. The opposite is true for when the leading coefficient is positive. When the degree is odd one end will point downwards while the other points upwards. When the degree is even, both ends point in the same direction.

I hope this helps :)

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