Answer:
x+120 , if x < -120
x+12 , if x > -12
x+12 , if x < -12
x+12 , if x = -12
x÷3 , if x > 0
x÷3 , if x < 0
Step-by-step explanation:
Well whatever is in the absolute value sign is always positive.
The shape in the figure is a composite shape with two triangles, and the inequality is 4 < x < 12
<h3>How to determine the range of value of x?</h3>
In the given figure, the side lengths AB and AD are equivalent.
This means that, we have the following angle relationship:
CAD < CAB
Substitute known values
6x - 24 < 48
Add 24 to both sides
6x < 72
Divide both sides by 6
x < 12
Also, we have the following angle relationship:
CAD > 0
Substitute known values
6x - 24 > 0
Add 24 to both sides
6x < 24
Divide both sides by 6
x < 4
This means that:
x < 4 and x < 12
Combine both inequalities
4 < x < 12
Hence, the inequality is 4 < x < 12
Read more about triangles at:
brainly.com/question/21735282
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AOC is an angle. It would be equal to (3x + 88).