The correct option is (D) |x - 30| < 20.
<h3>What is stratosphere?</h3>
A part of the atmosphere on Earth is called the stratosphere. As you ascend, it is the second layer of the atmosphere.
The stratosphere is immediately followed by the lowest layer, the troposphere. The mesosphere is the stratosphere's superior layer after that.
Calculation for the inequalities given for the stratosphere layer:
According to the question,
The stratosphere is the layer of the Earth's atmosphere that is more
than 10 kilometers (km) and less than 50 km above the Earth's surface.
Consider option D.
|x - 30| < 20
The two cases for the modulus function will be-
Case 1: For positive value of modulus function.
+ (x - 30) < 20
x - 30 < 20
x < 20 + 30
x < 50; which satisfies the condition the stratosphere is the layer less than 50 km above the Earth's surface.
Case 2: For the negative value of modulus function:
- (x - 30) < 20
- x + 30 < 20
30 - 20 < x
10 < x (or)
x > 10; which satisfies the condition the stratosphere is the layer is more
than 10 kilometers (km) .
To know more about the stratosphere, here
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The correct question is -
The stratosphere is the layer of the Earth's atmosphere that is more
than 10 kilometers (km) and less than 50 km above the Earth's surface
Which of the following inequalities describes all possible heights x, in
km, above the Earth's surface that are in the stratosphere?
A) |x + 10| < 50
B) |x-10|< 50
C) |x + 30|< 20
D) |x - 30| < 20
