Consider the Inequalities X >7 and X < 12 select all the values that satisfy both Inequalities

Mathematics

1 answer:

Maksim231197 [3]2 years ago

7 0

Answer:

9;10

Step-by-step explanation:

What we can first do is make them into one double sided inequality and then interpret it from there.

After combining them we get: 7<x<12

This means that any number between 7 and 12 can be picked.

Keep in mind, this means that 7 and 12 cannot be picked, they have to be in between.

Therefore, we get our aswers of 9 and 10!

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<h2>Explanation:</h2>

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The Segment Postulate states the following:

<em>Given two end points A and B, a third point C lines on the segment AB if and only if the distances between the points satisfy the equation:</em>

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From the figure:

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2.<br> Given that a = 7, b = 5 and c = 5.<br> Find the square root of<br> 3a + 2b + c

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Step-by-step explanation:

$3a + 2b + c = 3(7) + 2(5) + 5 \\ = 21 + 10 + 5 \\ = 36 \\ \sqrt{3a + 2b + c} = \sqrt{36} \\ = 6$