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makkiz [27]
3 years ago
11

Solve the following inequality algebraically. ∣x−5∣≤11

Mathematics
1 answer:
Serga [27]3 years ago
7 0

Answer:

-6 ≤ x ≤ 16

Step-by-step explanation:

First, apply absolute value rule:

x - 5 ≤ 11 and x - 5 ≥ -11

Then, we add 5 on both sides with both inequalities:

x ≤ 16 and x ≥ -6

Finally, combine the inequalities:

-6 ≤ x ≤ 16

And we're done ^^

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3 years ago
The data set below has a lower quartile of 13 and an upper quartile of 37.
Levart [38]

The dataset 78 is an outlier of the dataset

<h3>How to determine the true statement about the outlier?</h3>

The dataset is given as:

1, 12, 13, 15, 18, 20, 35, 37, 40, 78

Where

Q1 = 13

Q3 = 37

The boundaries of the outliers are given as:

L = Q1 - 1.5 * (Q3 - Q1)

U = Q3 + 1.5 * (Q3 - Q1)

Substitute the known values in the above equation

L = 13 - 1.5 * (37 - 13) = -23

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This means that the data elements outside the range -23 to 73 are outliers.

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Read more about outliers at:

brainly.com/question/3631910

#SPJ1

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