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KATRIN_1 [288]
3 years ago
14

Which of the following values is a solution of |2-x| less than 4

Mathematics
1 answer:
morpeh [17]3 years ago
4 0

The correct answer is -1.

In order to solve this, we need to split into the positive and negative version of the answers. Let's start with the positive version.

2 - x < 4

-x < 2

x > -2 ----> NOTE: When we divide by -1, we have to change the direction of the sign.

Now we'll do the negative version.

2 - x > -4

-x > -6

x < 6

So we know the number must be greater than -2, but less than 6. The only number on this list that fits that is -1.

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Step-by-step explanation:

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Answer:

Part 1) The trapezoid has an area of  20\ m^2

Part 2) The kite has an area of  21\ m^2    

Part 3) The area of the trapezoid is less than the area of the kite

Step-by-step explanation:

Part 1

Find the area of trapezoid

we know that

The area of trapezoid is equal to the area of two congruent triangles plus the area of a rectangle

so

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Part 2

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we know that

The area of the kite is equal to the area of two congruent triangles

so

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Part 3

Compare the areas

The trapezoid has an area of  20\ m^2

The kite has an area of  21\ m^2  

so

20\ m^2< 21\ m^2

therefore

The area of the trapezoid is less than the area of the kite

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Answer:

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Step-by-step explanation:

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Hope this helps :D

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Step-by-step explanation:

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