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vazorg [7]
3 years ago
9

The graph of which inequality has open circles on -16 and 4 with a line segment between them?

Mathematics
1 answer:
Alik [6]3 years ago
7 0

Answer: Choice A.  |x+6| < 10

Explanation:

The rule is that stuff of the form |x| < k becomes -k < x < k where k is some positive number.

So we'll have these steps

|x+6| < 10\\\\-10 < x+6 < 10\\\\-10-6 < x+6-6 < 10-6\\\\-16 < x < 4\\\\

In the third step, I subtracted 6 from all sides to isolate x.

The last step indicates we'll have open holes at -16 and 4, with shading in between. It visually tells the reader "x can be anything between -16 and 4, but can't be equal to either endpoint".

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Since both equations equal Y, set them equal to each other and solve.


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Add 2x to each side:

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Add 1 to each side:

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Divide both sides by 5:

x = 10/5

x = 2


Now replace x with 2 and solve for y:

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Determine the median modles IQR and range for the data<br> 3,8,6,6,4,6,9,9,12
Nataly_w [17]

The median of the data is 6 and the IQR will be 4.

<h3>What are median and IQR?</h3>

The median is the number separating the greater half from the lower half of a sample data in probability theory and statistics. The interquartile range is a measure of statistical dispersion, or the spread of the data, in descriptive statistics.

To calculate the median first arrange the data in the increasing order and then find the mid value.

3,4,6,6,6,8,9,9,12

The middlemost value will be the median.

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To calculate the IQR convert the data into lower limits and the upper limits from the median and then calculate the IQR.

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Q2 = ( 9+9)/2 = 9

IQR = 9 - 5 = 4

Therefore, the median of the data is 6 and the IQR will be 4.

To know more about IQR follow

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