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photoshop1234 [79]
3 years ago
15

Which compound inequality can be used to solve the inequality |3x+2|>7? -7<3x+2>7 -7>3x+2>7 3x + 2 > –7 or 3x

+ 2 > 7 3x + 2 < –7 or 3x + 2 > 7
Mathematics
2 answers:
Ivenika [448]3 years ago
6 0

Answer:

(3x+2)< -7  or   (3x+2) > 7

Step-by-step explanation:

we have

\left|3x+2\right|>7  

Divide the absolute value inequality into two inequalities

<em>First inequality</em> (positive value)

(3x+2) > 7

<em>Second inequality</em> (negative value)

-(3x+2) > 7

Multiply by -1 both sides

Remember that when you multiply or divide both sides of an inequality by a negative number, you must reverse the inequality symbol

so

(3x+2)< -7

therefore

The compound inequality that can be used is

(3x+2)< -7  or   (3x+2) > 7

LekaFEV [45]3 years ago
4 0

Answer:

D) 3x + 2 < –7 or 3x + 2 > 7

Step-by-step explanation:

this is correct on ed-genuity, hope this helps! :)

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At a zoo, the lion pen has a ring-shaped sidewalk around it. The outer edge of the sidewalk is a circle with a radius of 11 m. T
elixir [45]

Answer:

\text{Exact area of the sidewalk}=40 \pi\text{ m}^2

\text{Approximate area of the sidewalk}=125.6\text{ m}^2

Step-by-step explanation:

We have been given that at a zoo, the lion pen has a ring-shaped sidewalk around it. The outer edge of the sidewalk is a circle with a radius of 11 m. The inner edge of the sidewalk is a circle with a radius of 9 m.

To find the area of the side walk we will subtract the area of inner edge of the side walk of lion pen from the area of the outer edge of the lion pen.

\text{Area of circle}=\pi r^2, where r represents radius of the circle.

\text{Exact area of the sidewalk}=\pi*\text{(11 m)}^2-\pi*\text{(9 m)}^2

\text{Exact area of the sidewalk}=\pi*\text{121 m}^2-\pi*\text{81 m}^2

\text{Exact area of the sidewalk}=40 \pi\text{ m}^2

Therefore, the exact area of the side walk is 40 \pi\text{ m}^2

To find the approximate area of side walk let us substitute pi equals 3.14.

\text{Approximate area of the sidewalk}=40*3.14\text{ m}^2

\text{Approximate area of the sidewalk}=125.6\text{ m}^2

Therefore, the approximate area of the side walk is 125.6\text{ m}^2.

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3 years ago
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Answer:

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Step-by-step explanation:

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Please help with the questions. Thank you.
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Answer:

1. Isolate

2. Closed

3. Reversed

If you have more problems with things similar to this, I recommend this website, it gives a detailed description on how to solve the equations:

https://www.mathsisfun.com/algebra/inequality-solving.html

4 0
3 years ago
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