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1 year ago

Which of the following is the solution to 3I x-1 I≥ 12?

Mathematics

1 answer:

hichkok12 [17]1 year ago

5 0

The solution for the given inequality will be x≤ -3 or x≥ 5. Thus, the correct option is B.

<h3>What are inequalities?</h3>

Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed. It is mostly denoted by the symbol <, >, ≤, and ≥.

For the given inequality the solution can be found as,

When the value of x is negative,

3|x-1| ≥ 12

x-1 ≥ 4

x ≥ 5

When the value of x is positive,

3|x-1| ≥ 12

- x + 1 ≥ 4

-x ≥ 3

x ≤ -3

Hence, the solution for the given inequality will be x≤ -3 or x≥ 5. Thus, the correct option is B.

Learn more about Inequality:

brainly.com/question/19491153

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You might be interested in

Rewrite and Order 6/7 and 9/11

Aleksandr-060686 [28]

Answer:

6/7 = 66/77

9/11 = 63/77

6/7 is greater than 9/11

Step-by-step explanation:

To give fractions a common denominator you must find the LCM(lowest common multiple) of this two denominators.

So, we have 7 and 11. You must find a multiple 7 and 11 share. This means that the number must be divisible by 7 and 11. The LCM for 7 and 11 is 77.

Now we make both the denominators 77.

Now look at the numerators. Look at 6/7. We multipled 7 by 11 to get 77. Therefore, we must also multiply 6 by 11.

Now we have, 66/77

Do the same with the other fraction but other way around:

11 x 7 so

9 x 7 = 63

So,

63/77

So 6/7 is now 66/77 and 9/11 is now 63/77

Now compare:

66 > 63

66 is bigger so 6/7 is greater.

6/7 is greater than 9/11

7 0

2 years ago

The numbers of regular season wins for 10 football teams in a given season are given below. Determine the range, mean, variance,

tensa zangetsu [6.8K]

We have the following data set:

2,7,15,3,12,9,15,8,3,10

The range is the difference between the highest and lowest values in the set, to find the range, order the data set from least to greatest.

2,3,3,7,8,9,10,12,15,15

Then,

$\begin{gathered} \text{Range}=15-2 \\ \text{Range}=13 \end{gathered}$

Mean is represented by the following expression:

$\text{Mean}=\frac{\text{Sum of all data points}}{Number\text{ of data po}ints}$ $\text{Mean}=\frac{84}{10}=8.4$

Population variance formula looks like this:

$\begin{gathered} \sigma^2=\frac{\sum^{}_{}(x-\mu)^2}{N} \\ \text{where,} \\ \sigma^2=\text{population variance} \\ \sum ^{}_{}=addition\text{ of} \\ x=\text{each value} \\ \mu=population\text{ mean} \\ N=\text{ number of values in the population} \end{gathered}$

Then, substituting: